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Finding the Fourth Proportional to 410,029.31, 615,022.08 and 110,505.08

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Solution

The fourth proportional to 410,029.31, 615,022.08 and 110,505.08 is: 165,751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,029.31 : 615,022.08 = 110,505.08 : x
  2. Step 2: Convert to fraction form
    410,029.31/615,022.08 = 110,505.08/x
  3. Step 3: Cross multiply
    410,029.31x = 615,022.08 × 110,505.08
  4. Step 4: Simplify right side
    410,029.31x = 67,963,061,077.06
  5. Step 5: Solve for x
    x = 67,963,061,077.06/410,029.31
  6. Step 6: Final answer
    x = 165,751.72

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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.