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Finding the Fourth Proportional to 314,867.80, 472,301.70 and 252,659.80

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Solution

The fourth proportional to 314,867.80, 472,301.70 and 252,659.80 is: 378,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,867.80 : 472,301.70 = 252,659.80 : x
  2. Step 2: Convert to fraction form
    314,867.80/472,301.70 = 252,659.80/x
  3. Step 3: Cross multiply
    314,867.80x = 472,301.70 × 252,659.80
  4. Step 4: Simplify right side
    314,867.80x = 119,331,653,061.66
  5. Step 5: Solve for x
    x = 119,331,653,061.66/314,867.80
  6. Step 6: Final answer
    x = 378,989.70

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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.