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Finding the Fourth Proportional to 516,461.90, 774,692.85 and 433,793.30

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Solution

The fourth proportional to 516,461.90, 774,692.85 and 433,793.30 is: 650,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,461.90 : 774,692.85 = 433,793.30 : x
  2. Step 2: Convert to fraction form
    516,461.90/774,692.85 = 433,793.30/x
  3. Step 3: Cross multiply
    516,461.90x = 774,692.85 × 433,793.30
  4. Step 4: Simplify right side
    516,461.90x = 336,056,567,887.91
  5. Step 5: Solve for x
    x = 336,056,567,887.91/516,461.90
  6. Step 6: Final answer
    x = 650,689.95

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.