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Finding the Fourth Proportional to 681,729.28, 940,856.64 and 409,886.08

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Solution

The fourth proportional to 681,729.28, 940,856.64 and 409,886.08 is: 565,685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,729.28 : 940,856.64 = 409,886.08 : x
  2. Step 2: Convert to fraction form
    681,729.28/940,856.64 = 409,886.08/x
  3. Step 3: Cross multiply
    681,729.28x = 940,856.64 × 409,886.08
  4. Step 4: Simplify right side
    681,729.28x = 385,644,040,011.57
  5. Step 5: Solve for x
    x = 385,644,040,011.57/681,729.28
  6. Step 6: Final answer
    x = 565,685.02

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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.