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Finding the Fourth Proportional to 468,614.46, 702,898.33 and 165,023.59

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Solution

The fourth proportional to 468,614.46, 702,898.33 and 165,023.59 is: 247,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,614.46 : 702,898.33 = 165,023.59 : x
  2. Step 2: Convert to fraction form
    468,614.46/702,898.33 = 165,023.59/x
  3. Step 3: Cross multiply
    468,614.46x = 702,898.33 × 165,023.59
  4. Step 4: Simplify right side
    468,614.46x = 115,994,806,799.46
  5. Step 5: Solve for x
    x = 115,994,806,799.46/468,614.46
  6. Step 6: Final answer
    x = 247,527.16

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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.