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Finding the Fourth Proportional to 381,774.54, 526,855.19 and 209,708.41

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Solution

The fourth proportional to 381,774.54, 526,855.19 and 209,708.41 is: 289,401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,774.54 : 526,855.19 = 209,708.41 : x
  2. Step 2: Convert to fraction form
    381,774.54/526,855.19 = 209,708.41/x
  3. Step 3: Cross multiply
    381,774.54x = 526,855.19 × 209,708.41
  4. Step 4: Simplify right side
    381,774.54x = 110,485,964,195.15
  5. Step 5: Solve for x
    x = 110,485,964,195.15/381,774.54
  6. Step 6: Final answer
    x = 289,401.08

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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.