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Finding the Fourth Proportional to 398,340.12, 597,603.56 and 158,467.62

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Solution

The fourth proportional to 398,340.12, 597,603.56 and 158,467.62 is: 237,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,340.12 : 597,603.56 = 158,467.62 : x
  2. Step 2: Convert to fraction form
    398,340.12/597,603.56 = 158,467.62/x
  3. Step 3: Cross multiply
    398,340.12x = 597,603.56 × 158,467.62
  4. Step 4: Simplify right side
    398,340.12x = 94,700,813,856.73
  5. Step 5: Solve for x
    x = 94,700,813,856.73/398,340.12
  6. Step 6: Final answer
    x = 237,738.58

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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.