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Finding the Fourth Proportional to 378,155.32, 521,851.85 and 208,389.58

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Solution

The fourth proportional to 378,155.32, 521,851.85 and 208,389.58 is: 287,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,155.32 : 521,851.85 = 208,389.58 : x
  2. Step 2: Convert to fraction form
    378,155.32/521,851.85 = 208,389.58/x
  3. Step 3: Cross multiply
    378,155.32x = 521,851.85 × 208,389.58
  4. Step 4: Simplify right side
    378,155.32x = 108,748,485,497.15
  5. Step 5: Solve for x
    x = 108,748,485,497.15/378,155.32
  6. Step 6: Final answer
    x = 287,576.24

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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.