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Finding the Fourth Proportional to 560,219.26, 840,213.61 and 160,771

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Solution

The fourth proportional to 560,219.26, 840,213.61 and 160,771 is: 241,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,219.26 : 840,213.61 = 160,771 : x
  2. Step 2: Convert to fraction form
    560,219.26/840,213.61 = 160,771/x
  3. Step 3: Cross multiply
    560,219.26x = 840,213.61 × 160,771
  4. Step 4: Simplify right side
    560,219.26x = 135,081,982,293.31
  5. Step 5: Solve for x
    x = 135,081,982,293.31/560,219.26
  6. Step 6: Final answer
    x = 241,123.42

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1.5x scale

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.