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Finding the Fourth Proportional to 381,431.52, 526,376.57 and 209,350.89

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Solution

The fourth proportional to 381,431.52, 526,376.57 and 209,350.89 is: 288,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,431.52 : 526,376.57 = 209,350.89 : x
  2. Step 2: Convert to fraction form
    381,431.52/526,376.57 = 209,350.89/x
  3. Step 3: Cross multiply
    381,431.52x = 526,376.57 × 209,350.89
  4. Step 4: Simplify right side
    381,431.52x = 110,197,402,357.89
  5. Step 5: Solve for x
    x = 110,197,402,357.89/381,431.52
  6. Step 6: Final answer
    x = 288,904.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.