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Finding the Fourth Proportional to 560,523.36, 840,680.27 and 150,197.50

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Solution

The fourth proportional to 560,523.36, 840,680.27 and 150,197.50 is: 225,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,523.36 : 840,680.27 = 150,197.50 : x
  2. Step 2: Convert to fraction form
    560,523.36/840,680.27 = 150,197.50/x
  3. Step 3: Cross multiply
    560,523.36x = 840,680.27 × 150,197.50
  4. Step 4: Simplify right side
    560,523.36x = 126,268,074,853.33
  5. Step 5: Solve for x
    x = 126,268,074,853.33/560,523.36
  6. Step 6: Final answer
    x = 225,268.18

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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.