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Finding the Fourth Proportional to 378,407.36, 522,205.68 and 208,647.52

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Solution

The fourth proportional to 378,407.36, 522,205.68 and 208,647.52 is: 287,935.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,407.36 : 522,205.68 = 208,647.52 : x
  2. Step 2: Convert to fraction form
    378,407.36/522,205.68 = 208,647.52/x
  3. Step 3: Cross multiply
    378,407.36x = 522,205.68 × 208,647.52
  4. Step 4: Simplify right side
    378,407.36x = 108,956,920,061.91
  5. Step 5: Solve for x
    x = 108,956,920,061.91/378,407.36
  6. Step 6: Final answer
    x = 287,935.52

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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.