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Finding the Fourth Proportional to 314,832.80, 472,364.40 and 127,863.20

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Solution

The fourth proportional to 314,832.80, 472,364.40 and 127,863.20 is: 191,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,832.80 : 472,364.40 = 127,863.20 : x
  2. Step 2: Convert to fraction form
    314,832.80/472,364.40 = 127,863.20/x
  3. Step 3: Cross multiply
    314,832.80x = 472,364.40 × 127,863.20
  4. Step 4: Simplify right side
    314,832.80x = 60,398,023,750.08
  5. Step 5: Solve for x
    x = 60,398,023,750.08/314,832.80
  6. Step 6: Final answer
    x = 191,841.59

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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.