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Finding the Fourth Proportional to 305,761.60, 458,642.40 and 293,514.40

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Solution

The fourth proportional to 305,761.60, 458,642.40 and 293,514.40 is: 440,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,761.60 : 458,642.40 = 293,514.40 : x
  2. Step 2: Convert to fraction form
    305,761.60/458,642.40 = 293,514.40/x
  3. Step 3: Cross multiply
    305,761.60x = 458,642.40 × 293,514.40
  4. Step 4: Simplify right side
    305,761.60x = 134,618,148,850.56
  5. Step 5: Solve for x
    x = 134,618,148,850.56/305,761.60
  6. Step 6: Final answer
    x = 440,271.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.