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Finding the Fourth Proportional to 339,575.76, 509,363.10 and 90,257.76

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Solution

The fourth proportional to 339,575.76, 509,363.10 and 90,257.76 is: 135,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,575.76 : 509,363.10 = 90,257.76 : x
  2. Step 2: Convert to fraction form
    339,575.76/509,363.10 = 90,257.76/x
  3. Step 3: Cross multiply
    339,575.76x = 509,363.10 × 90,257.76
  4. Step 4: Simplify right side
    339,575.76x = 45,973,972,432.66
  5. Step 5: Solve for x
    x = 45,973,972,432.66/339,575.76
  6. Step 6: Final answer
    x = 135,386.50

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Why These Related Problems?

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