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Finding the Fourth Proportional to 488,102.92, 731,982.80 and 146,444.48

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Solution

The fourth proportional to 488,102.92, 731,982.80 and 146,444.48 is: 219,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,102.92 : 731,982.80 = 146,444.48 : x
  2. Step 2: Convert to fraction form
    488,102.92/731,982.80 = 146,444.48/x
  3. Step 3: Cross multiply
    488,102.92x = 731,982.80 × 146,444.48
  4. Step 4: Simplify right side
    488,102.92x = 107,194,840,514.94
  5. Step 5: Solve for x
    x = 107,194,840,514.94/488,102.92
  6. Step 6: Final answer
    x = 219,615.24

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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.