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Finding the Fourth Proportional to 398,864.13, 598,301.40 and 132,624.64

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Solution

The fourth proportional to 398,864.13, 598,301.40 and 132,624.64 is: 198,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,864.13 : 598,301.40 = 132,624.64 : x
  2. Step 2: Convert to fraction form
    398,864.13/598,301.40 = 132,624.64/x
  3. Step 3: Cross multiply
    398,864.13x = 598,301.40 × 132,624.64
  4. Step 4: Simplify right side
    398,864.13x = 79,349,507,786.50
  5. Step 5: Solve for x
    x = 79,349,507,786.50/398,864.13
  6. Step 6: Final answer
    x = 198,938.69

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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.