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Finding the Fourth Proportional to 398,176.08, 597,256.75 and 98,657.38

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Solution

The fourth proportional to 398,176.08, 597,256.75 and 98,657.38 is: 147,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,176.08 : 597,256.75 = 98,657.38 : x
  2. Step 2: Convert to fraction form
    398,176.08/597,256.75 = 98,657.38/x
  3. Step 3: Cross multiply
    398,176.08x = 597,256.75 × 98,657.38
  4. Step 4: Simplify right side
    398,176.08x = 58,923,786,142.32
  5. Step 5: Solve for x
    x = 58,923,786,142.32/398,176.08
  6. Step 6: Final answer
    x = 147,984.24

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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.