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Finding the Fourth Proportional to 413,788.68, 571,246.56 and 278,533.80

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Solution

The fourth proportional to 413,788.68, 571,246.56 and 278,533.80 is: 384,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,788.68 : 571,246.56 = 278,533.80 : x
  2. Step 2: Convert to fraction form
    413,788.68/571,246.56 = 278,533.80/x
  3. Step 3: Cross multiply
    413,788.68x = 571,246.56 × 278,533.80
  4. Step 4: Simplify right side
    413,788.68x = 159,111,475,093.73
  5. Step 5: Solve for x
    x = 159,111,475,093.73/413,788.68
  6. Step 6: Final answer
    x = 384,523.51

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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.