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Finding the Fourth Proportional to 398,002.46, 597,248.43 and 158,074.38

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Solution

The fourth proportional to 398,002.46, 597,248.43 and 158,074.38 is: 237,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,002.46 : 597,248.43 = 158,074.38 : x
  2. Step 2: Convert to fraction form
    398,002.46/597,248.43 = 158,074.38/x
  3. Step 3: Cross multiply
    398,002.46x = 597,248.43 × 158,074.38
  4. Step 4: Simplify right side
    398,002.46x = 94,409,675,278.22
  5. Step 5: Solve for x
    x = 94,409,675,278.22/398,002.46
  6. Step 6: Final answer
    x = 237,208.78

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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.