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Finding the Fourth Proportional to 463,531.92, 695,333.82 and 139,294.70

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Solution

The fourth proportional to 463,531.92, 695,333.82 and 139,294.70 is: 208,952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,531.92 : 695,333.82 = 139,294.70 : x
  2. Step 2: Convert to fraction form
    463,531.92/695,333.82 = 139,294.70/x
  3. Step 3: Cross multiply
    463,531.92x = 695,333.82 × 139,294.70
  4. Step 4: Simplify right side
    463,531.92x = 96,856,312,380.08
  5. Step 5: Solve for x
    x = 96,856,312,380.08/463,531.92
  6. Step 6: Final answer
    x = 208,952.84

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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.