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Finding the Fourth Proportional to 474,062.94, 711,091.80 and 158,517.18

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Solution

The fourth proportional to 474,062.94, 711,091.80 and 158,517.18 is: 237,774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,062.94 : 711,091.80 = 158,517.18 : x
  2. Step 2: Convert to fraction form
    474,062.94/711,091.80 = 158,517.18/x
  3. Step 3: Cross multiply
    474,062.94x = 711,091.80 × 158,517.18
  4. Step 4: Simplify right side
    474,062.94x = 112,720,266,857.12
  5. Step 5: Solve for x
    x = 112,720,266,857.12/474,062.94
  6. Step 6: Final answer
    x = 237,774.90

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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.