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Finding the Fourth Proportional to 468,433.17, 702,544.64 and 215,470.71

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Solution

The fourth proportional to 468,433.17, 702,544.64 and 215,470.71 is: 323,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,433.17 : 702,544.64 = 215,470.71 : x
  2. Step 2: Convert to fraction form
    468,433.17/702,544.64 = 215,470.71/x
  3. Step 3: Cross multiply
    468,433.17x = 702,544.64 × 215,470.71
  4. Step 4: Simplify right side
    468,433.17x = 151,377,791,310.14
  5. Step 5: Solve for x
    x = 151,377,791,310.14/468,433.17
  6. Step 6: Final answer
    x = 323,157.71

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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.