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Finding the Fourth Proportional to 406,302.48, 609,614.10 and 125,841.60

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Solution

The fourth proportional to 406,302.48, 609,614.10 and 125,841.60 is: 188,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,302.48 : 609,614.10 = 125,841.60 : x
  2. Step 2: Convert to fraction form
    406,302.48/609,614.10 = 125,841.60/x
  3. Step 3: Cross multiply
    406,302.48x = 609,614.10 × 125,841.60
  4. Step 4: Simplify right side
    406,302.48x = 76,714,813,726.56
  5. Step 5: Solve for x
    x = 76,714,813,726.56/406,302.48
  6. Step 6: Final answer
    x = 188,812.07

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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.