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Finding the Fourth Proportional to 465,654.16, 694,405.85 and 461,397.52

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Solution

The fourth proportional to 465,654.16, 694,405.85 and 461,397.52 is: 688,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,654.16 : 694,405.85 = 461,397.52 : x
  2. Step 2: Convert to fraction form
    465,654.16/694,405.85 = 461,397.52/x
  3. Step 3: Cross multiply
    465,654.16x = 694,405.85 × 461,397.52
  4. Step 4: Simplify right side
    465,654.16x = 320,397,137,063.49
  5. Step 5: Solve for x
    x = 320,397,137,063.49/465,654.16
  6. Step 6: Final answer
    x = 688,058.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.