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Finding the Fourth Proportional to 227,906.13, 314,510.46 and 127,304.13

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Solution

The fourth proportional to 227,906.13, 314,510.46 and 127,304.13 is: 175,679.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,906.13 : 314,510.46 = 127,304.13 : x
  2. Step 2: Convert to fraction form
    227,906.13/314,510.46 = 127,304.13/x
  3. Step 3: Cross multiply
    227,906.13x = 314,510.46 × 127,304.13
  4. Step 4: Simplify right side
    227,906.13x = 40,038,480,486.20
  5. Step 5: Solve for x
    x = 40,038,480,486.20/227,906.13
  6. Step 6: Final answer
    x = 175,679.70

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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.