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Finding the Fourth Proportional to 352,001.60, 527,224.80 and 185,595.20

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Solution

The fourth proportional to 352,001.60, 527,224.80 and 185,595.20 is: 277,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,001.60 : 527,224.80 = 185,595.20 : x
  2. Step 2: Convert to fraction form
    352,001.60/527,224.80 = 185,595.20/x
  3. Step 3: Cross multiply
    352,001.60x = 527,224.80 × 185,595.20
  4. Step 4: Simplify right side
    352,001.60x = 97,850,392,200.96
  5. Step 5: Solve for x
    x = 97,850,392,200.96/352,001.60
  6. Step 6: Final answer
    x = 277,982.81

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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.