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Finding the Fourth Proportional to 305,470.59, 458,270.36 and 92,254.49

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Solution

The fourth proportional to 305,470.59, 458,270.36 and 92,254.49 is: 138,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,470.59 : 458,270.36 = 92,254.49 : x
  2. Step 2: Convert to fraction form
    305,470.59/458,270.36 = 92,254.49/x
  3. Step 3: Cross multiply
    305,470.59x = 458,270.36 × 92,254.49
  4. Step 4: Simplify right side
    305,470.59x = 42,277,500,233.53
  5. Step 5: Solve for x
    x = 42,277,500,233.53/305,470.59
  6. Step 6: Final answer
    x = 138,401.21

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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.