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Finding the Fourth Proportional to 488,171.96, 732,116.48 and 146,601.60

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Solution

The fourth proportional to 488,171.96, 732,116.48 and 146,601.60 is: 219,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,171.96 : 732,116.48 = 146,601.60 : x
  2. Step 2: Convert to fraction form
    488,171.96/732,116.48 = 146,601.60/x
  3. Step 3: Cross multiply
    488,171.96x = 732,116.48 × 146,601.60
  4. Step 4: Simplify right side
    488,171.96x = 107,329,447,354.37
  5. Step 5: Solve for x
    x = 107,329,447,354.37/488,171.96
  6. Step 6: Final answer
    x = 219,859.92

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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.