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Finding the Fourth Proportional to 356,765.60, 534,889.20 and 146,295.20

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Solution

The fourth proportional to 356,765.60, 534,889.20 and 146,295.20 is: 219,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,765.60 : 534,889.20 = 146,295.20 : x
  2. Step 2: Convert to fraction form
    356,765.60/534,889.20 = 146,295.20/x
  3. Step 3: Cross multiply
    356,765.60x = 534,889.20 × 146,295.20
  4. Step 4: Simplify right side
    356,765.60x = 78,251,722,491.84
  5. Step 5: Solve for x
    x = 78,251,722,491.84/356,765.60
  6. Step 6: Final answer
    x = 219,336.51

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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.