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Finding the Fourth Proportional to 475,042.68, 712,568.70 and 120,056.76

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Solution

The fourth proportional to 475,042.68, 712,568.70 and 120,056.76 is: 180,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,042.68 : 712,568.70 = 120,056.76 : x
  2. Step 2: Convert to fraction form
    475,042.68/712,568.70 = 120,056.76/x
  3. Step 3: Cross multiply
    475,042.68x = 712,568.70 × 120,056.76
  4. Step 4: Simplify right side
    475,042.68x = 85,548,689,399.41
  5. Step 5: Solve for x
    x = 85,548,689,399.41/475,042.68
  6. Step 6: Final answer
    x = 180,086.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.