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Finding the Fourth Proportional to 537,942.40, 807,691.20 and 405,750.40

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Solution

The fourth proportional to 537,942.40, 807,691.20 and 405,750.40 is: 609,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,942.40 : 807,691.20 = 405,750.40 : x
  2. Step 2: Convert to fraction form
    537,942.40/807,691.20 = 405,750.40/x
  3. Step 3: Cross multiply
    537,942.40x = 807,691.20 × 405,750.40
  4. Step 4: Simplify right side
    537,942.40x = 327,721,027,476.48
  5. Step 5: Solve for x
    x = 327,721,027,476.48/537,942.40
  6. Step 6: Final answer
    x = 609,212.12

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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.