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Finding the Fourth Proportional to 293,601.60, 439,819.20 and 160,243.20

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Solution

The fourth proportional to 293,601.60, 439,819.20 and 160,243.20 is: 240,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,601.60 : 439,819.20 = 160,243.20 : x
  2. Step 2: Convert to fraction form
    293,601.60/439,819.20 = 160,243.20/x
  3. Step 3: Cross multiply
    293,601.60x = 439,819.20 × 160,243.20
  4. Step 4: Simplify right side
    293,601.60x = 70,478,036,029.44
  5. Step 5: Solve for x
    x = 70,478,036,029.44/293,601.60
  6. Step 6: Final answer
    x = 240,046.50

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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.