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Finding the Fourth Proportional to 474,034.88, 654,169.31 and 259,188.81

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Solution

The fourth proportional to 474,034.88, 654,169.31 and 259,188.81 is: 357,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,034.88 : 654,169.31 = 259,188.81 : x
  2. Step 2: Convert to fraction form
    474,034.88/654,169.31 = 259,188.81/x
  3. Step 3: Cross multiply
    474,034.88x = 654,169.31 × 259,188.81
  4. Step 4: Simplify right side
    474,034.88x = 169,553,367,357.94
  5. Step 5: Solve for x
    x = 169,553,367,357.94/474,034.88
  6. Step 6: Final answer
    x = 357,681.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.