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Finding the Fourth Proportional to 378,763.94, 522,506.98 and 247,864.10

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Solution

The fourth proportional to 378,763.94, 522,506.98 and 247,864.10 is: 341,929.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,763.94 : 522,506.98 = 247,864.10 : x
  2. Step 2: Convert to fraction form
    378,763.94/522,506.98 = 247,864.10/x
  3. Step 3: Cross multiply
    378,763.94x = 522,506.98 × 247,864.10
  4. Step 4: Simplify right side
    378,763.94x = 129,510,722,341.42
  5. Step 5: Solve for x
    x = 129,510,722,341.42/378,763.94
  6. Step 6: Final answer
    x = 341,929.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.