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Finding the Fourth Proportional to 520,301.80, 781,035.90 and 402,495.40

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Solution

The fourth proportional to 520,301.80, 781,035.90 and 402,495.40 is: 604,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,301.80 : 781,035.90 = 402,495.40 : x
  2. Step 2: Convert to fraction form
    520,301.80/781,035.90 = 402,495.40/x
  3. Step 3: Cross multiply
    520,301.80x = 781,035.90 × 402,495.40
  4. Step 4: Simplify right side
    520,301.80x = 314,363,356,984.86
  5. Step 5: Solve for x
    x = 314,363,356,984.86/520,301.80
  6. Step 6: Final answer
    x = 604,194.25

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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.