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Finding the Fourth Proportional to 406,864.54, 610,227.15 and 107,348.21

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Solution

The fourth proportional to 406,864.54, 610,227.15 and 107,348.21 is: 161,003.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,864.54 : 610,227.15 = 107,348.21 : x
  2. Step 2: Convert to fraction form
    406,864.54/610,227.15 = 107,348.21/x
  3. Step 3: Cross multiply
    406,864.54x = 610,227.15 × 107,348.21
  4. Step 4: Simplify right side
    406,864.54x = 65,506,792,245.90
  5. Step 5: Solve for x
    x = 65,506,792,245.90/406,864.54
  6. Step 6: Final answer
    x = 161,003.94

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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.