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Finding the Fourth Proportional to 311,373.28, 467,016.16 and 101,013.12

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Solution

The fourth proportional to 311,373.28, 467,016.16 and 101,013.12 is: 151,505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,373.28 : 467,016.16 = 101,013.12 : x
  2. Step 2: Convert to fraction form
    311,373.28/467,016.16 = 101,013.12/x
  3. Step 3: Cross multiply
    311,373.28x = 467,016.16 × 101,013.12
  4. Step 4: Simplify right side
    311,373.28x = 47,174,759,412.02
  5. Step 5: Solve for x
    x = 47,174,759,412.02/311,373.28
  6. Step 6: Final answer
    x = 151,505.48

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1.5x scale

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.