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Finding the Fourth Proportional to 523,323.70, 784,487.23 and 168,088.62

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Solution

The fourth proportional to 523,323.70, 784,487.23 and 168,088.62 is: 251,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,323.70 : 784,487.23 = 168,088.62 : x
  2. Step 2: Convert to fraction form
    523,323.70/784,487.23 = 168,088.62/x
  3. Step 3: Cross multiply
    523,323.70x = 784,487.23 × 168,088.62
  4. Step 4: Simplify right side
    523,323.70x = 131,863,375,898.32
  5. Step 5: Solve for x
    x = 131,863,375,898.32/523,323.70
  6. Step 6: Final answer
    x = 251,972.87

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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.