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Finding the Fourth Proportional to 562,435.83, 843,780.33 and 178,207.80

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Solution

The fourth proportional to 562,435.83, 843,780.33 and 178,207.80 is: 267,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,435.83 : 843,780.33 = 178,207.80 : x
  2. Step 2: Convert to fraction form
    562,435.83/843,780.33 = 178,207.80/x
  3. Step 3: Cross multiply
    562,435.83x = 843,780.33 × 178,207.80
  4. Step 4: Simplify right side
    562,435.83x = 150,368,236,292.57
  5. Step 5: Solve for x
    x = 150,368,236,292.57/562,435.83
  6. Step 6: Final answer
    x = 267,351.81

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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.