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Finding the Fourth Proportional to 609,912.10, 841,976.13 and 406,083.70

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Solution

The fourth proportional to 609,912.10, 841,976.13 and 406,083.70 is: 560,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,912.10 : 841,976.13 = 406,083.70 : x
  2. Step 2: Convert to fraction form
    609,912.10/841,976.13 = 406,083.70/x
  3. Step 3: Cross multiply
    609,912.10x = 841,976.13 × 406,083.70
  4. Step 4: Simplify right side
    609,912.10x = 341,912,782,182.08
  5. Step 5: Solve for x
    x = 341,912,782,182.08/609,912.10
  6. Step 6: Final answer
    x = 560,593.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.