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Finding the Fourth Proportional to 567,091.31, 782,585.58 and 312,442.50

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Solution

The fourth proportional to 567,091.31, 782,585.58 and 312,442.50 is: 431,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,091.31 : 782,585.58 = 312,442.50 : x
  2. Step 2: Convert to fraction form
    567,091.31/782,585.58 = 312,442.50/x
  3. Step 3: Cross multiply
    567,091.31x = 782,585.58 × 312,442.50
  4. Step 4: Simplify right side
    567,091.31x = 244,512,995,079.15
  5. Step 5: Solve for x
    x = 244,512,995,079.15/567,091.31
  6. Step 6: Final answer
    x = 431,170.41

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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.