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Finding the Fourth Proportional to 652,257.40, 978,281.22 and 178,832.92

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Solution

The fourth proportional to 652,257.40, 978,281.22 and 178,832.92 is: 268,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,257.40 : 978,281.22 = 178,832.92 : x
  2. Step 2: Convert to fraction form
    652,257.40/978,281.22 = 178,832.92/x
  3. Step 3: Cross multiply
    652,257.40x = 978,281.22 × 178,832.92
  4. Step 4: Simplify right side
    652,257.40x = 174,948,887,153.76
  5. Step 5: Solve for x
    x = 174,948,887,153.76/652,257.40
  6. Step 6: Final answer
    x = 268,220.62

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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.