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Finding the Fourth Proportional to 381,742.40, 572,467.80 and 115,414.40

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Solution

The fourth proportional to 381,742.40, 572,467.80 and 115,414.40 is: 173,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,742.40 : 572,467.80 = 115,414.40 : x
  2. Step 2: Convert to fraction form
    381,742.40/572,467.80 = 115,414.40/x
  3. Step 3: Cross multiply
    381,742.40x = 572,467.80 × 115,414.40
  4. Step 4: Simplify right side
    381,742.40x = 66,071,027,656.32
  5. Step 5: Solve for x
    x = 66,071,027,656.32/381,742.40
  6. Step 6: Final answer
    x = 173,077.52

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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.