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Finding the Fourth Proportional to 461,264.58, 636,218.01 and 299,821.86

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Solution

The fourth proportional to 461,264.58, 636,218.01 and 299,821.86 is: 413,541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,264.58 : 636,218.01 = 299,821.86 : x
  2. Step 2: Convert to fraction form
    461,264.58/636,218.01 = 299,821.86/x
  3. Step 3: Cross multiply
    461,264.58x = 636,218.01 × 299,821.86
  4. Step 4: Simplify right side
    461,264.58x = 190,752,067,123.70
  5. Step 5: Solve for x
    x = 190,752,067,123.70/461,264.58
  6. Step 6: Final answer
    x = 413,541.55

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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.