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Finding the Fourth Proportional to 381,773.54, 526,853.81 and 209,707.41

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Solution

The fourth proportional to 381,773.54, 526,853.81 and 209,707.41 is: 289,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,773.54 : 526,853.81 = 209,707.41 : x
  2. Step 2: Convert to fraction form
    381,773.54/526,853.81 = 209,707.41/x
  3. Step 3: Cross multiply
    381,773.54x = 526,853.81 × 209,707.41
  4. Step 4: Simplify right side
    381,773.54x = 110,485,146,895.20
  5. Step 5: Solve for x
    x = 110,485,146,895.20/381,773.54
  6. Step 6: Final answer
    x = 289,399.70

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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.