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Finding the Fourth Proportional to 681,271.41, 940,109.40 and 409,350.75

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Solution

The fourth proportional to 681,271.41, 940,109.40 and 409,350.75 is: 564,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,271.41 : 940,109.40 = 409,350.75 : x
  2. Step 2: Convert to fraction form
    681,271.41/940,109.40 = 409,350.75/x
  3. Step 3: Cross multiply
    681,271.41x = 940,109.40 × 409,350.75
  4. Step 4: Simplify right side
    681,271.41x = 384,834,487,972.05
  5. Step 5: Solve for x
    x = 384,834,487,972.05/681,271.41
  6. Step 6: Final answer
    x = 564,876.91

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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.