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Finding the Fourth Proportional to 431,531.76, 595,572.12 and 261,738.48

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Solution

The fourth proportional to 431,531.76, 595,572.12 and 261,738.48 is: 361,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,531.76 : 595,572.12 = 261,738.48 : x
  2. Step 2: Convert to fraction form
    431,531.76/595,572.12 = 261,738.48/x
  3. Step 3: Cross multiply
    431,531.76x = 595,572.12 × 261,738.48
  4. Step 4: Simplify right side
    431,531.76x = 155,884,141,419.18
  5. Step 5: Solve for x
    x = 155,884,141,419.18/431,531.76
  6. Step 6: Final answer
    x = 361,234.46

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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.