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Finding the Fourth Proportional to 406,171.80, 609,257.70 and 106,632.60

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Solution

The fourth proportional to 406,171.80, 609,257.70 and 106,632.60 is: 159,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,171.80 : 609,257.70 = 106,632.60 : x
  2. Step 2: Convert to fraction form
    406,171.80/609,257.70 = 106,632.60/x
  3. Step 3: Cross multiply
    406,171.80x = 609,257.70 × 106,632.60
  4. Step 4: Simplify right side
    406,171.80x = 64,966,732,621.02
  5. Step 5: Solve for x
    x = 64,966,732,621.02/406,171.80
  6. Step 6: Final answer
    x = 159,948.90

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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.