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Finding the Fourth Proportional to 567,503.38, 783,160.11 and 312,863.68

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Solution

The fourth proportional to 567,503.38, 783,160.11 and 312,863.68 is: 431,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,503.38 : 783,160.11 = 312,863.68 : x
  2. Step 2: Convert to fraction form
    567,503.38/783,160.11 = 312,863.68/x
  3. Step 3: Cross multiply
    567,503.38x = 783,160.11 × 312,863.68
  4. Step 4: Simplify right side
    567,503.38x = 245,022,354,043.81
  5. Step 5: Solve for x
    x = 245,022,354,043.81/567,503.38
  6. Step 6: Final answer
    x = 431,754.88

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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.