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Finding the Fourth Proportional to 406,833.60, 610,469.10 and 170,200.20

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Solution

The fourth proportional to 406,833.60, 610,469.10 and 170,200.20 is: 255,391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,833.60 : 610,469.10 = 170,200.20 : x
  2. Step 2: Convert to fraction form
    406,833.60/610,469.10 = 170,200.20/x
  3. Step 3: Cross multiply
    406,833.60x = 610,469.10 × 170,200.20
  4. Step 4: Simplify right side
    406,833.60x = 103,901,962,913.82
  5. Step 5: Solve for x
    x = 103,901,962,913.82/406,833.60
  6. Step 6: Final answer
    x = 255,391.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.