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Finding the Fourth Proportional to 562,432.83, 843,775.82 and 178,204.80

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Solution

The fourth proportional to 562,432.83, 843,775.82 and 178,204.80 is: 267,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,432.83 : 843,775.82 = 178,204.80 : x
  2. Step 2: Convert to fraction form
    562,432.83/843,775.82 = 178,204.80/x
  3. Step 3: Cross multiply
    562,432.83x = 843,775.82 × 178,204.80
  4. Step 4: Simplify right side
    562,432.83x = 150,364,901,693.45
  5. Step 5: Solve for x
    x = 150,364,901,693.45/562,432.83
  6. Step 6: Final answer
    x = 267,347.31

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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.