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Finding the Fourth Proportional to 517,511.80, 714,081.72 and 299,642.86

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Solution

The fourth proportional to 517,511.80, 714,081.72 and 299,642.86 is: 413,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,511.80 : 714,081.72 = 299,642.86 : x
  2. Step 2: Convert to fraction form
    517,511.80/714,081.72 = 299,642.86/x
  3. Step 3: Cross multiply
    517,511.80x = 714,081.72 × 299,642.86
  4. Step 4: Simplify right side
    517,511.80x = 213,969,488,854.52
  5. Step 5: Solve for x
    x = 213,969,488,854.52/517,511.80
  6. Step 6: Final answer
    x = 413,458.18

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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.