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Finding the Fourth Proportional to 376,429.20, 564,643.80 and 165,843.60

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Solution

The fourth proportional to 376,429.20, 564,643.80 and 165,843.60 is: 248,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,429.20 : 564,643.80 = 165,843.60 : x
  2. Step 2: Convert to fraction form
    376,429.20/564,643.80 = 165,843.60/x
  3. Step 3: Cross multiply
    376,429.20x = 564,643.80 × 165,843.60
  4. Step 4: Simplify right side
    376,429.20x = 93,642,560,509.68
  5. Step 5: Solve for x
    x = 93,642,560,509.68/376,429.20
  6. Step 6: Final answer
    x = 248,765.40

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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.