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Finding the Fourth Proportional to 406,769.01, 610,084.15 and 107,252.53

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Solution

The fourth proportional to 406,769.01, 610,084.15 and 107,252.53 is: 160,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,769.01 : 610,084.15 = 107,252.53 : x
  2. Step 2: Convert to fraction form
    406,769.01/610,084.15 = 107,252.53/x
  3. Step 3: Cross multiply
    406,769.01x = 610,084.15 × 107,252.53
  4. Step 4: Simplify right side
    406,769.01x = 65,433,069,126.22
  5. Step 5: Solve for x
    x = 65,433,069,126.22/406,769.01
  6. Step 6: Final answer
    x = 160,860.51

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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.