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Finding the Fourth Proportional to 414,915.96, 622,577.16 and 148,697.04

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Solution

The fourth proportional to 414,915.96, 622,577.16 and 148,697.04 is: 223,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,915.96 : 622,577.16 = 148,697.04 : x
  2. Step 2: Convert to fraction form
    414,915.96/622,577.16 = 148,697.04/x
  3. Step 3: Cross multiply
    414,915.96x = 622,577.16 × 148,697.04
  4. Step 4: Simplify right side
    414,915.96x = 92,575,380,863.61
  5. Step 5: Solve for x
    x = 92,575,380,863.61/414,915.96
  6. Step 6: Final answer
    x = 223,118.39

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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.