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Finding the Fourth Proportional to 314,959.20, 471,286.80 and 232,015.20

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Solution

The fourth proportional to 314,959.20, 471,286.80 and 232,015.20 is: 347,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,959.20 : 471,286.80 = 232,015.20 : x
  2. Step 2: Convert to fraction form
    314,959.20/471,286.80 = 232,015.20/x
  3. Step 3: Cross multiply
    314,959.20x = 471,286.80 × 232,015.20
  4. Step 4: Simplify right side
    314,959.20x = 109,345,701,159.36
  5. Step 5: Solve for x
    x = 109,345,701,159.36/314,959.20
  6. Step 6: Final answer
    x = 347,174.18

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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.