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Finding the Fourth Proportional to 567,112.34, 782,614.40 and 312,463.46

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Solution

The fourth proportional to 567,112.34, 782,614.40 and 312,463.46 is: 431,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,112.34 : 782,614.40 = 312,463.46 : x
  2. Step 2: Convert to fraction form
    567,112.34/782,614.40 = 312,463.46/x
  3. Step 3: Cross multiply
    567,112.34x = 782,614.40 × 312,463.46
  4. Step 4: Simplify right side
    567,112.34x = 244,538,403,269.82
  5. Step 5: Solve for x
    x = 244,538,403,269.82/567,112.34
  6. Step 6: Final answer
    x = 431,199.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.