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Finding the Fourth Proportional to 474,656.67, 711,894.29 and 142,232.67

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Solution

The fourth proportional to 474,656.67, 711,894.29 and 142,232.67 is: 213,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,656.67 : 711,894.29 = 142,232.67 : x
  2. Step 2: Convert to fraction form
    474,656.67/711,894.29 = 142,232.67/x
  3. Step 3: Cross multiply
    474,656.67x = 711,894.29 × 142,232.67
  4. Step 4: Simplify right side
    474,656.67x = 101,254,625,624.45
  5. Step 5: Solve for x
    x = 101,254,625,624.45/474,656.67
  6. Step 6: Final answer
    x = 213,321.82

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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.