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Finding the Fourth Proportional to 506,461.57, 759,692.32 and 206,941.85

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Solution

The fourth proportional to 506,461.57, 759,692.32 and 206,941.85 is: 310,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,461.57 : 759,692.32 = 206,941.85 : x
  2. Step 2: Convert to fraction form
    506,461.57/759,692.32 = 206,941.85/x
  3. Step 3: Cross multiply
    506,461.57x = 759,692.32 × 206,941.85
  4. Step 4: Simplify right side
    506,461.57x = 157,212,134,131.59
  5. Step 5: Solve for x
    x = 157,212,134,131.59/506,461.57
  6. Step 6: Final answer
    x = 310,412.76

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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.