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Finding the Fourth Proportional to 384,902.80, 576,260.70 and 363,956.20

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Solution

The fourth proportional to 384,902.80, 576,260.70 and 363,956.20 is: 544,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,902.80 : 576,260.70 = 363,956.20 : x
  2. Step 2: Convert to fraction form
    384,902.80/576,260.70 = 363,956.20/x
  3. Step 3: Cross multiply
    384,902.80x = 576,260.70 × 363,956.20
  4. Step 4: Simplify right side
    384,902.80x = 209,733,654,581.34
  5. Step 5: Solve for x
    x = 209,733,654,581.34/384,902.80
  6. Step 6: Final answer
    x = 544,900.31

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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.