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Finding the Fourth Proportional to 417,692.30, 576,399.95 and 226,701.59

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Solution

The fourth proportional to 417,692.30, 576,399.95 and 226,701.59 is: 312,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,692.30 : 576,399.95 = 226,701.59 : x
  2. Step 2: Convert to fraction form
    417,692.30/576,399.95 = 226,701.59/x
  3. Step 3: Cross multiply
    417,692.30x = 576,399.95 × 226,701.59
  4. Step 4: Simplify right side
    417,692.30x = 130,670,781,125.41
  5. Step 5: Solve for x
    x = 130,670,781,125.41/417,692.30
  6. Step 6: Final answer
    x = 312,839.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.