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Finding the Fourth Proportional to 392,663.89, 589,025.66 and 152,674.68

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Solution

The fourth proportional to 392,663.89, 589,025.66 and 152,674.68 is: 229,023.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,663.89 : 589,025.66 = 152,674.68 : x
  2. Step 2: Convert to fraction form
    392,663.89/589,025.66 = 152,674.68/x
  3. Step 3: Cross multiply
    392,663.89x = 589,025.66 × 152,674.68
  4. Step 4: Simplify right side
    392,663.89x = 89,929,304,152.29
  5. Step 5: Solve for x
    x = 89,929,304,152.29/392,663.89
  6. Step 6: Final answer
    x = 229,023.62

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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.