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Finding the Fourth Proportional to 520,734.30, 781,684.65 and 402,927.90

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Solution

The fourth proportional to 520,734.30, 781,684.65 and 402,927.90 is: 604,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,734.30 : 781,684.65 = 402,927.90 : x
  2. Step 2: Convert to fraction form
    520,734.30/781,684.65 = 402,927.90/x
  3. Step 3: Cross multiply
    520,734.30x = 781,684.65 × 402,927.90
  4. Step 4: Simplify right side
    520,734.30x = 314,962,554,486.74
  5. Step 5: Solve for x
    x = 314,962,554,486.74/520,734.30
  6. Step 6: Final answer
    x = 604,843.11

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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.