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Finding the Fourth Proportional to 462,502.31, 693,605.82 and 146,885.39

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Solution

The fourth proportional to 462,502.31, 693,605.82 and 146,885.39 is: 220,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,502.31 : 693,605.82 = 146,885.39 : x
  2. Step 2: Convert to fraction form
    462,502.31/693,605.82 = 146,885.39/x
  3. Step 3: Cross multiply
    462,502.31x = 693,605.82 × 146,885.39
  4. Step 4: Simplify right side
    462,502.31x = 101,880,561,376.97
  5. Step 5: Solve for x
    x = 101,880,561,376.97/462,502.31
  6. Step 6: Final answer
    x = 220,281.19

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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.