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Finding the Fourth Proportional to 293,596.50, 440,564.10 and 158,660.88

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Solution

The fourth proportional to 293,596.50, 440,564.10 and 158,660.88 is: 238,082.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,596.50 : 440,564.10 = 158,660.88 : x
  2. Step 2: Convert to fraction form
    293,596.50/440,564.10 = 158,660.88/x
  3. Step 3: Cross multiply
    293,596.50x = 440,564.10 × 158,660.88
  4. Step 4: Simplify right side
    293,596.50x = 69,900,287,802.41
  5. Step 5: Solve for x
    x = 69,900,287,802.41/293,596.50
  6. Step 6: Final answer
    x = 238,082.84

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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.