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Finding the Fourth Proportional to 474,655.67, 711,892.79 and 142,231.67

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Solution

The fourth proportional to 474,655.67, 711,892.79 and 142,231.67 is: 213,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,655.67 : 711,892.79 = 142,231.67 : x
  2. Step 2: Convert to fraction form
    474,655.67/711,892.79 = 142,231.67/x
  3. Step 3: Cross multiply
    474,655.67x = 711,892.79 × 142,231.67
  4. Step 4: Simplify right side
    474,655.67x = 101,253,700,382.66
  5. Step 5: Solve for x
    x = 101,253,700,382.66/474,655.67
  6. Step 6: Final answer
    x = 213,320.32

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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.