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Finding the Fourth Proportional to 398,382.16, 597,138.35 and 196,117.47

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Solution

The fourth proportional to 398,382.16, 597,138.35 and 196,117.47 is: 293,962.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,382.16 : 597,138.35 = 196,117.47 : x
  2. Step 2: Convert to fraction form
    398,382.16/597,138.35 = 196,117.47/x
  3. Step 3: Cross multiply
    398,382.16x = 597,138.35 × 196,117.47
  4. Step 4: Simplify right side
    398,382.16x = 117,109,258,942.21
  5. Step 5: Solve for x
    x = 117,109,258,942.21/398,382.16
  6. Step 6: Final answer
    x = 293,962.11

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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.