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Finding the Fourth Proportional to 398,456.63, 597,509.06 and 114,082.64

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Solution

The fourth proportional to 398,456.63, 597,509.06 and 114,082.64 is: 171,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,456.63 : 597,509.06 = 114,082.64 : x
  2. Step 2: Convert to fraction form
    398,456.63/597,509.06 = 114,082.64/x
  3. Step 3: Cross multiply
    398,456.63x = 597,509.06 × 114,082.64
  4. Step 4: Simplify right side
    398,456.63x = 68,165,410,988.72
  5. Step 5: Solve for x
    x = 68,165,410,988.72/398,456.63
  6. Step 6: Final answer
    x = 171,073.60

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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.