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Finding the Fourth Proportional to 398,027.84, 597,249.12 and 176,360

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Solution

The fourth proportional to 398,027.84, 597,249.12 and 176,360 is: 264,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,027.84 : 597,249.12 = 176,360 : x
  2. Step 2: Convert to fraction form
    398,027.84/597,249.12 = 176,360/x
  3. Step 3: Cross multiply
    398,027.84x = 597,249.12 × 176,360
  4. Step 4: Simplify right side
    398,027.84x = 105,330,854,803.20
  5. Step 5: Solve for x
    x = 105,330,854,803.20/398,027.84
  6. Step 6: Final answer
    x = 264,631.88

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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.