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Finding the Fourth Proportional to 462,505.62, 693,663.09 and 178,098.57

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Solution

The fourth proportional to 462,505.62, 693,663.09 and 178,098.57 is: 267,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,505.62 : 693,663.09 = 178,098.57 : x
  2. Step 2: Convert to fraction form
    462,505.62/693,663.09 = 178,098.57/x
  3. Step 3: Cross multiply
    462,505.62x = 693,663.09 × 178,098.57
  4. Step 4: Simplify right side
    462,505.62x = 123,540,406,675.64
  5. Step 5: Solve for x
    x = 123,540,406,675.64/462,505.62
  6. Step 6: Final answer
    x = 267,111.15

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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.