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Finding the Fourth Proportional to 228,043.28, 314,697.48 and 127,441.28

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Solution

The fourth proportional to 228,043.28, 314,697.48 and 127,441.28 is: 175,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,043.28 : 314,697.48 = 127,441.28 : x
  2. Step 2: Convert to fraction form
    228,043.28/314,697.48 = 127,441.28/x
  3. Step 3: Cross multiply
    228,043.28x = 314,697.48 × 127,441.28
  4. Step 4: Simplify right side
    228,043.28x = 40,105,449,663.97
  5. Step 5: Solve for x
    x = 40,105,449,663.97/228,043.28
  6. Step 6: Final answer
    x = 175,867.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.