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Finding the Fourth Proportional to 293,150.40, 439,423.20 and 159,748.80

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Solution

The fourth proportional to 293,150.40, 439,423.20 and 159,748.80 is: 239,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,150.40 : 439,423.20 = 159,748.80 : x
  2. Step 2: Convert to fraction form
    293,150.40/439,423.20 = 159,748.80/x
  3. Step 3: Cross multiply
    293,150.40x = 439,423.20 × 159,748.80
  4. Step 4: Simplify right side
    293,150.40x = 70,197,328,892.16
  5. Step 5: Solve for x
    x = 70,197,328,892.16/293,150.40
  6. Step 6: Final answer
    x = 239,458.41

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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.