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Finding the Fourth Proportional to 398,654.68, 596,164.01 and 297,524.16

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Solution

The fourth proportional to 398,654.68, 596,164.01 and 297,524.16 is: 444,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,654.68 : 596,164.01 = 297,524.16 : x
  2. Step 2: Convert to fraction form
    398,654.68/596,164.01 = 297,524.16/x
  3. Step 3: Cross multiply
    398,654.68x = 596,164.01 × 297,524.16
  4. Step 4: Simplify right side
    398,654.68x = 177,373,196,297.48
  5. Step 5: Solve for x
    x = 177,373,196,297.48/398,654.68
  6. Step 6: Final answer
    x = 444,929.42

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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.