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Finding the Fourth Proportional to 560,153.41, 840,024.26 and 200,227.14

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Solution

The fourth proportional to 560,153.41, 840,024.26 and 200,227.14 is: 300,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,153.41 : 840,024.26 = 200,227.14 : x
  2. Step 2: Convert to fraction form
    560,153.41/840,024.26 = 200,227.14/x
  3. Step 3: Cross multiply
    560,153.41x = 840,024.26 × 200,227.14
  4. Step 4: Simplify right side
    560,153.41x = 168,195,654,109.28
  5. Step 5: Solve for x
    x = 168,195,654,109.28/560,153.41
  6. Step 6: Final answer
    x = 300,267.12

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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.