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Finding the Fourth Proportional to 466,040.96, 699,059.28 and 146,216.24

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Solution

The fourth proportional to 466,040.96, 699,059.28 and 146,216.24 is: 219,323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,040.96 : 699,059.28 = 146,216.24 : x
  2. Step 2: Convert to fraction form
    466,040.96/699,059.28 = 146,216.24/x
  3. Step 3: Cross multiply
    466,040.96x = 699,059.28 × 146,216.24
  4. Step 4: Simplify right side
    466,040.96x = 102,213,819,458.71
  5. Step 5: Solve for x
    x = 102,213,819,458.71/466,040.96
  6. Step 6: Final answer
    x = 219,323.68

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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.