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Finding the Fourth Proportional to 381,188.94, 526,047.75 and 209,115.69

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Solution

The fourth proportional to 381,188.94, 526,047.75 and 209,115.69 is: 288,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,188.94 : 526,047.75 = 209,115.69 : x
  2. Step 2: Convert to fraction form
    381,188.94/526,047.75 = 209,115.69/x
  3. Step 3: Cross multiply
    381,188.94x = 526,047.75 × 209,115.69
  4. Step 4: Simplify right side
    381,188.94x = 110,004,835,061.17
  5. Step 5: Solve for x
    x = 110,004,835,061.17/381,188.94
  6. Step 6: Final answer
    x = 288,583.49

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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.