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Finding the Fourth Proportional to 411,176.60, 616,764.90 and 144,848.60

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Solution

The fourth proportional to 411,176.60, 616,764.90 and 144,848.60 is: 217,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,176.60 : 616,764.90 = 144,848.60 : x
  2. Step 2: Convert to fraction form
    411,176.60/616,764.90 = 144,848.60/x
  3. Step 3: Cross multiply
    411,176.60x = 616,764.90 × 144,848.60
  4. Step 4: Simplify right side
    411,176.60x = 89,337,532,294.14
  5. Step 5: Solve for x
    x = 89,337,532,294.14/411,176.60
  6. Step 6: Final answer
    x = 217,272.90

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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.