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Finding the Fourth Proportional to 828,159.38, 1,241,353.32 and 378,206

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Solution

The fourth proportional to 828,159.38, 1,241,353.32 and 378,206 is: 566,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,159.38 : 1,241,353.32 = 378,206 : x
  2. Step 2: Convert to fraction form
    828,159.38/1,241,353.32 = 378,206/x
  3. Step 3: Cross multiply
    828,159.38x = 1,241,353.32 × 378,206
  4. Step 4: Simplify right side
    828,159.38x = 469,487,273,743.92
  5. Step 5: Solve for x
    x = 469,487,273,743.92/828,159.38
  6. Step 6: Final answer
    x = 566,904.49

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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.