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Finding the Fourth Proportional to 641,463.92, 962,161 and 242,095.04

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Solution

The fourth proportional to 641,463.92, 962,161 and 242,095.04 is: 363,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,463.92 : 962,161 = 242,095.04 : x
  2. Step 2: Convert to fraction form
    641,463.92/962,161 = 242,095.04/x
  3. Step 3: Cross multiply
    641,463.92x = 962,161 × 242,095.04
  4. Step 4: Simplify right side
    641,463.92x = 232,934,405,781.44
  5. Step 5: Solve for x
    x = 232,934,405,781.44/641,463.92
  6. Step 6: Final answer
    x = 363,129.40

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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.