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Finding the Fourth Proportional to 567,508.41, 783,167.04 and 312,868.71

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Solution

The fourth proportional to 567,508.41, 783,167.04 and 312,868.71 is: 431,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,508.41 : 783,167.04 = 312,868.71 : x
  2. Step 2: Convert to fraction form
    567,508.41/783,167.04 = 312,868.71/x
  3. Step 3: Cross multiply
    567,508.41x = 783,167.04 × 312,868.71
  4. Step 4: Simplify right side
    567,508.41x = 245,028,461,519.32
  5. Step 5: Solve for x
    x = 245,028,461,519.32/567,508.41
  6. Step 6: Final answer
    x = 431,761.82

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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.