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Finding the Fourth Proportional to 386,698.50, 580,024.44 and 229,924.62

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Solution

The fourth proportional to 386,698.50, 580,024.44 and 229,924.62 is: 344,873.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,698.50 : 580,024.44 = 229,924.62 : x
  2. Step 2: Convert to fraction form
    386,698.50/580,024.44 = 229,924.62/x
  3. Step 3: Cross multiply
    386,698.50x = 580,024.44 × 229,924.62
  4. Step 4: Simplify right side
    386,698.50x = 133,361,898,957.71
  5. Step 5: Solve for x
    x = 133,361,898,957.71/386,698.50
  6. Step 6: Final answer
    x = 344,873.07

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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.