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Finding the Fourth Proportional to 562,845.16, 844,354.14 and 225,885.16

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Solution

The fourth proportional to 562,845.16, 844,354.14 and 225,885.16 is: 338,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,845.16 : 844,354.14 = 225,885.16 : x
  2. Step 2: Convert to fraction form
    562,845.16/844,354.14 = 225,885.16/x
  3. Step 3: Cross multiply
    562,845.16x = 844,354.14 × 225,885.16
  4. Step 4: Simplify right side
    562,845.16x = 190,727,070,010.56
  5. Step 5: Solve for x
    x = 190,727,070,010.56/562,845.16
  6. Step 6: Final answer
    x = 338,862.41

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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.