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Finding the Fourth Proportional to 474,387.34, 654,868.28 and 302,535.92

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Solution

The fourth proportional to 474,387.34, 654,868.28 and 302,535.92 is: 417,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,387.34 : 654,868.28 = 302,535.92 : x
  2. Step 2: Convert to fraction form
    474,387.34/654,868.28 = 302,535.92/x
  3. Step 3: Cross multiply
    474,387.34x = 654,868.28 × 302,535.92
  4. Step 4: Simplify right side
    474,387.34x = 198,121,177,568.62
  5. Step 5: Solve for x
    x = 198,121,177,568.62/474,387.34
  6. Step 6: Final answer
    x = 417,635.89

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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.