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Finding the Fourth Proportional to 381,305.59, 526,184.06 and 209,219.27

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Solution

The fourth proportional to 381,305.59, 526,184.06 and 209,219.27 is: 288,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,305.59 : 526,184.06 = 209,219.27 : x
  2. Step 2: Convert to fraction form
    381,305.59/526,184.06 = 209,219.27/x
  3. Step 3: Cross multiply
    381,305.59x = 526,184.06 × 209,219.27
  4. Step 4: Simplify right side
    381,305.59x = 110,087,841,241.82
  5. Step 5: Solve for x
    x = 110,087,841,241.82/381,305.59
  6. Step 6: Final answer
    x = 288,712.90

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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.