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Finding the Fourth Proportional to 487,625.80, 731,438.70 and 310,916.20

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Solution

The fourth proportional to 487,625.80, 731,438.70 and 310,916.20 is: 466,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,625.80 : 731,438.70 = 310,916.20 : x
  2. Step 2: Convert to fraction form
    487,625.80/731,438.70 = 310,916.20/x
  3. Step 3: Cross multiply
    487,625.80x = 731,438.70 × 310,916.20
  4. Step 4: Simplify right side
    487,625.80x = 227,416,141,136.94
  5. Step 5: Solve for x
    x = 227,416,141,136.94/487,625.80
  6. Step 6: Final answer
    x = 466,374.30

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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.