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Finding the Fourth Proportional to 406,351.64, 609,567.56 and 140,077.12

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Solution

The fourth proportional to 406,351.64, 609,567.56 and 140,077.12 is: 210,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,351.64 : 609,567.56 = 140,077.12 : x
  2. Step 2: Convert to fraction form
    406,351.64/609,567.56 = 140,077.12/x
  3. Step 3: Cross multiply
    406,351.64x = 609,567.56 × 140,077.12
  4. Step 4: Simplify right side
    406,351.64x = 85,386,468,250.23
  5. Step 5: Solve for x
    x = 85,386,468,250.23/406,351.64
  6. Step 6: Final answer
    x = 210,129.50

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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.