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Finding the Fourth Proportional to 369,634.11, 510,052.24 and 208,491.86

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Solution

The fourth proportional to 369,634.11, 510,052.24 and 208,491.86 is: 287,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,634.11 : 510,052.24 = 208,491.86 : x
  2. Step 2: Convert to fraction form
    369,634.11/510,052.24 = 208,491.86/x
  3. Step 3: Cross multiply
    369,634.11x = 510,052.24 × 208,491.86
  4. Step 4: Simplify right side
    369,634.11x = 106,341,740,214.77
  5. Step 5: Solve for x
    x = 106,341,740,214.77/369,634.11
  6. Step 6: Final answer
    x = 287,694.61

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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.