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Finding the Fourth Proportional to 476,704.24, 657,854.67 and 261,838.78

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Solution

The fourth proportional to 476,704.24, 657,854.67 and 261,838.78 is: 361,339.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,704.24 : 657,854.67 = 261,838.78 : x
  2. Step 2: Convert to fraction form
    476,704.24/657,854.67 = 261,838.78/x
  3. Step 3: Cross multiply
    476,704.24x = 657,854.67 × 261,838.78
  4. Step 4: Simplify right side
    476,704.24x = 172,251,864,210.10
  5. Step 5: Solve for x
    x = 172,251,864,210.10/476,704.24
  6. Step 6: Final answer
    x = 361,339.06

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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.