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Finding the Fourth Proportional to 531,472.98, 797,073.21 and 157,408.50

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Solution

The fourth proportional to 531,472.98, 797,073.21 and 157,408.50 is: 236,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,472.98 : 797,073.21 = 157,408.50 : x
  2. Step 2: Convert to fraction form
    531,472.98/797,073.21 = 157,408.50/x
  3. Step 3: Cross multiply
    531,472.98x = 797,073.21 × 157,408.50
  4. Step 4: Simplify right side
    531,472.98x = 125,466,098,376.29
  5. Step 5: Solve for x
    x = 125,466,098,376.29/531,472.98
  6. Step 6: Final answer
    x = 236,072.39

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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.