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Finding the Fourth Proportional to 378,635.24, 522,518.42 and 208,869.36

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Solution

The fourth proportional to 378,635.24, 522,518.42 and 208,869.36 is: 288,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,635.24 : 522,518.42 = 208,869.36 : x
  2. Step 2: Convert to fraction form
    378,635.24/522,518.42 = 208,869.36/x
  3. Step 3: Cross multiply
    378,635.24x = 522,518.42 × 208,869.36
  4. Step 4: Simplify right side
    378,635.24x = 109,138,087,973.61
  5. Step 5: Solve for x
    x = 109,138,087,973.61/378,635.24
  6. Step 6: Final answer
    x = 288,240.70

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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.