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Finding the Fourth Proportional to 435,825.20, 653,608.20 and 169,432.40

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Solution

The fourth proportional to 435,825.20, 653,608.20 and 169,432.40 is: 254,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,825.20 : 653,608.20 = 169,432.40 : x
  2. Step 2: Convert to fraction form
    435,825.20/653,608.20 = 169,432.40/x
  3. Step 3: Cross multiply
    435,825.20x = 653,608.20 × 169,432.40
  4. Step 4: Simplify right side
    435,825.20x = 110,742,405,985.68
  5. Step 5: Solve for x
    x = 110,742,405,985.68/435,825.20
  6. Step 6: Final answer
    x = 254,098.22

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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.