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Finding the Fourth Proportional to 381,336.33, 526,242.68 and 209,257.17

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Solution

The fourth proportional to 381,336.33, 526,242.68 and 209,257.17 is: 288,774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,336.33 : 526,242.68 = 209,257.17 : x
  2. Step 2: Convert to fraction form
    381,336.33/526,242.68 = 209,257.17/x
  3. Step 3: Cross multiply
    381,336.33x = 526,242.68 × 209,257.17
  4. Step 4: Simplify right side
    381,336.33x = 110,120,054,473.16
  5. Step 5: Solve for x
    x = 110,120,054,473.16/381,336.33
  6. Step 6: Final answer
    x = 288,774.10

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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.