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Finding the Fourth Proportional to 406,064.80, 609,097.20 and 332,253.55

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Solution

The fourth proportional to 406,064.80, 609,097.20 and 332,253.55 is: 498,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,064.80 : 609,097.20 = 332,253.55 : x
  2. Step 2: Convert to fraction form
    406,064.80/609,097.20 = 332,253.55/x
  3. Step 3: Cross multiply
    406,064.80x = 609,097.20 × 332,253.55
  4. Step 4: Simplify right side
    406,064.80x = 202,374,706,995.06
  5. Step 5: Solve for x
    x = 202,374,706,995.06/406,064.80
  6. Step 6: Final answer
    x = 498,380.33

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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.