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Finding the Fourth Proportional to 227,958.24, 314,576.16 and 127,356.24

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Solution

The fourth proportional to 227,958.24, 314,576.16 and 127,356.24 is: 175,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,958.24 : 314,576.16 = 127,356.24 : x
  2. Step 2: Convert to fraction form
    227,958.24/314,576.16 = 127,356.24/x
  3. Step 3: Cross multiply
    227,958.24x = 314,576.16 × 127,356.24
  4. Step 4: Simplify right side
    227,958.24x = 40,063,236,931.24
  5. Step 5: Solve for x
    x = 40,063,236,931.24/227,958.24
  6. Step 6: Final answer
    x = 175,748.14

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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.