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Finding the Fourth Proportional to 468,231.39, 702,435.65 and 148,463.78

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Solution

The fourth proportional to 468,231.39, 702,435.65 and 148,463.78 is: 222,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,231.39 : 702,435.65 = 148,463.78 : x
  2. Step 2: Convert to fraction form
    468,231.39/702,435.65 = 148,463.78/x
  3. Step 3: Cross multiply
    468,231.39x = 702,435.65 × 148,463.78
  4. Step 4: Simplify right side
    468,231.39x = 104,286,247,551.26
  5. Step 5: Solve for x
    x = 104,286,247,551.26/468,231.39
  6. Step 6: Final answer
    x = 222,723.74

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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.