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Finding the Fourth Proportional to 563,645.41, 776,947.12 and 427,132.87

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Solution

The fourth proportional to 563,645.41, 776,947.12 and 427,132.87 is: 588,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,645.41 : 776,947.12 = 427,132.87 : x
  2. Step 2: Convert to fraction form
    563,645.41/776,947.12 = 427,132.87/x
  3. Step 3: Cross multiply
    563,645.41x = 776,947.12 × 427,132.87
  4. Step 4: Simplify right side
    563,645.41x = 331,859,655,146.20
  5. Step 5: Solve for x
    x = 331,859,655,146.20/563,645.41
  6. Step 6: Final answer
    x = 588,773.81

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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.