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Finding the Fourth Proportional to 456,363.71, 684,399.98 and 156,772.05

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Solution

The fourth proportional to 456,363.71, 684,399.98 and 156,772.05 is: 235,108.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,363.71 : 684,399.98 = 156,772.05 : x
  2. Step 2: Convert to fraction form
    456,363.71/684,399.98 = 156,772.05/x
  3. Step 3: Cross multiply
    456,363.71x = 684,399.98 × 156,772.05
  4. Step 4: Simplify right side
    456,363.71x = 107,294,787,884.56
  5. Step 5: Solve for x
    x = 107,294,787,884.56/456,363.71
  6. Step 6: Final answer
    x = 235,108.06

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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.