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Finding the Fourth Proportional to 681,272.55, 940,111.14 and 409,178.77

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Solution

The fourth proportional to 681,272.55, 940,111.14 and 409,178.77 is: 564,639.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,272.55 : 940,111.14 = 409,178.77 : x
  2. Step 2: Convert to fraction form
    681,272.55/940,111.14 = 409,178.77/x
  3. Step 3: Cross multiply
    681,272.55x = 940,111.14 × 409,178.77
  4. Step 4: Simplify right side
    681,272.55x = 384,673,519,928.50
  5. Step 5: Solve for x
    x = 384,673,519,928.50/681,272.55
  6. Step 6: Final answer
    x = 564,639.69

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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.