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Finding the Fourth Proportional to 408,631.04, 612,944.32 and 105,024.96

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Solution

The fourth proportional to 408,631.04, 612,944.32 and 105,024.96 is: 157,536.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,631.04 : 612,944.32 = 105,024.96 : x
  2. Step 2: Convert to fraction form
    408,631.04/612,944.32 = 105,024.96/x
  3. Step 3: Cross multiply
    408,631.04x = 612,944.32 × 105,024.96
  4. Step 4: Simplify right side
    408,631.04x = 64,374,452,690.23
  5. Step 5: Solve for x
    x = 64,374,452,690.23/408,631.04
  6. Step 6: Final answer
    x = 157,536.86

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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.