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Finding the Fourth Proportional to 410,258.10, 615,608.04 and 199,896.06

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Solution

The fourth proportional to 410,258.10, 615,608.04 and 199,896.06 is: 299,951.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,258.10 : 615,608.04 = 199,896.06 : x
  2. Step 2: Convert to fraction form
    410,258.10/615,608.04 = 199,896.06/x
  3. Step 3: Cross multiply
    410,258.10x = 615,608.04 × 199,896.06
  4. Step 4: Simplify right side
    410,258.10x = 123,057,621,700.32
  5. Step 5: Solve for x
    x = 123,057,621,700.32/410,258.10
  6. Step 6: Final answer
    x = 299,951.72

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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.