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Finding the Fourth Proportional to 461,488.63, 636,853.04 and 257,537.38

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Solution

The fourth proportional to 461,488.63, 636,853.04 and 257,537.38 is: 355,400.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,488.63 : 636,853.04 = 257,537.38 : x
  2. Step 2: Convert to fraction form
    461,488.63/636,853.04 = 257,537.38/x
  3. Step 3: Cross multiply
    461,488.63x = 636,853.04 × 257,537.38
  4. Step 4: Simplify right side
    461,488.63x = 164,013,463,366.64
  5. Step 5: Solve for x
    x = 164,013,463,366.64/461,488.63
  6. Step 6: Final answer
    x = 355,400.88

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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.