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Finding the Fourth Proportional to 465,451.38, 642,331.40 and 258,739.18

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Solution

The fourth proportional to 465,451.38, 642,331.40 and 258,739.18 is: 357,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,451.38 : 642,331.40 = 258,739.18 : x
  2. Step 2: Convert to fraction form
    465,451.38/642,331.40 = 258,739.18/x
  3. Step 3: Cross multiply
    465,451.38x = 642,331.40 × 258,739.18
  4. Step 4: Simplify right side
    465,451.38x = 166,196,299,724.25
  5. Step 5: Solve for x
    x = 166,196,299,724.25/465,451.38
  6. Step 6: Final answer
    x = 357,064.79

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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.