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Finding the Fourth Proportional to 567,343.42, 782,937.52 and 312,694.60

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Solution

The fourth proportional to 567,343.42, 782,937.52 and 312,694.60 is: 431,520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,343.42 : 782,937.52 = 312,694.60 : x
  2. Step 2: Convert to fraction form
    567,343.42/782,937.52 = 312,694.60/x
  3. Step 3: Cross multiply
    567,343.42x = 782,937.52 × 312,694.60
  4. Step 4: Simplify right side
    567,343.42x = 244,820,334,641.39
  5. Step 5: Solve for x
    x = 244,820,334,641.39/567,343.42
  6. Step 6: Final answer
    x = 431,520.53

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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.