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Finding the Fourth Proportional to 381,503.81, 526,499.87 and 211,737.94

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Solution

The fourth proportional to 381,503.81, 526,499.87 and 211,737.94 is: 292,212.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,503.81 : 526,499.87 = 211,737.94 : x
  2. Step 2: Convert to fraction form
    381,503.81/526,499.87 = 211,737.94/x
  3. Step 3: Cross multiply
    381,503.81x = 526,499.87 × 211,737.94
  4. Step 4: Simplify right side
    381,503.81x = 111,479,996,825.38
  5. Step 5: Solve for x
    x = 111,479,996,825.38/381,503.81
  6. Step 6: Final answer
    x = 292,212.01

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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.