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Finding the Fourth Proportional to 567,494.67, 783,147.90 and 312,854.97

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Solution

The fourth proportional to 567,494.67, 783,147.90 and 312,854.97 is: 431,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,494.67 : 783,147.90 = 312,854.97 : x
  2. Step 2: Convert to fraction form
    567,494.67/783,147.90 = 312,854.97/x
  3. Step 3: Cross multiply
    567,494.67x = 783,147.90 × 312,854.97
  4. Step 4: Simplify right side
    567,494.67x = 245,011,712,760.06
  5. Step 5: Solve for x
    x = 245,011,712,760.06/567,494.67
  6. Step 6: Final answer
    x = 431,742.76

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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.