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Finding the Fourth Proportional to 381,322.89, 526,215.59 and 209,240.31

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Solution

The fourth proportional to 381,322.89, 526,215.59 and 209,240.31 is: 288,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,322.89 : 526,215.59 = 209,240.31 : x
  2. Step 2: Convert to fraction form
    381,322.89/526,215.59 = 209,240.31/x
  3. Step 3: Cross multiply
    381,322.89x = 526,215.59 × 209,240.31
  4. Step 4: Simplify right side
    381,322.89x = 110,105,514,890.19
  5. Step 5: Solve for x
    x = 110,105,514,890.19/381,322.89
  6. Step 6: Final answer
    x = 288,746.15

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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.