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Finding the Fourth Proportional to 468,567.16, 702,844.46 and 113,584.20

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Solution

The fourth proportional to 468,567.16, 702,844.46 and 113,584.20 is: 170,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,567.16 : 702,844.46 = 113,584.20 : x
  2. Step 2: Convert to fraction form
    468,567.16/702,844.46 = 113,584.20/x
  3. Step 3: Cross multiply
    468,567.16x = 702,844.46 × 113,584.20
  4. Step 4: Simplify right side
    468,567.16x = 79,832,025,713.53
  5. Step 5: Solve for x
    x = 79,832,025,713.53/468,567.16
  6. Step 6: Final answer
    x = 170,374.78

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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.