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Finding the Fourth Proportional to 652,279.40, 978,314.22 and 178,854.92

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Solution

The fourth proportional to 652,279.40, 978,314.22 and 178,854.92 is: 268,253.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,279.40 : 978,314.22 = 178,854.92 : x
  2. Step 2: Convert to fraction form
    652,279.40/978,314.22 = 178,854.92/x
  3. Step 3: Cross multiply
    652,279.40x = 978,314.22 × 178,854.92
  4. Step 4: Simplify right side
    652,279.40x = 174,976,311,552.96
  5. Step 5: Solve for x
    x = 174,976,311,552.96/652,279.40
  6. Step 6: Final answer
    x = 268,253.62

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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.