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Finding the Fourth Proportional to 378,665.47, 522,558.32 and 208,899.60

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Solution

The fourth proportional to 378,665.47, 522,558.32 and 208,899.60 is: 288,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,665.47 : 522,558.32 = 208,899.60 : x
  2. Step 2: Convert to fraction form
    378,665.47/522,558.32 = 208,899.60/x
  3. Step 3: Cross multiply
    378,665.47x = 522,558.32 × 208,899.60
  4. Step 4: Simplify right side
    378,665.47x = 109,162,224,024.67
  5. Step 5: Solve for x
    x = 109,162,224,024.67/378,665.47
  6. Step 6: Final answer
    x = 288,281.43

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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.