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Finding the Fourth Proportional to 550,416.28, 825,706.50 and 195,400.57

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Solution

The fourth proportional to 550,416.28, 825,706.50 and 195,400.57 is: 293,129.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,416.28 : 825,706.50 = 195,400.57 : x
  2. Step 2: Convert to fraction form
    550,416.28/825,706.50 = 195,400.57/x
  3. Step 3: Cross multiply
    550,416.28x = 825,706.50 × 195,400.57
  4. Step 4: Simplify right side
    550,416.28x = 161,343,520,752.71
  5. Step 5: Solve for x
    x = 161,343,520,752.71/550,416.28
  6. Step 6: Final answer
    x = 293,129.99

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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.