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Finding the Fourth Proportional to 305,340.48, 458,011.44 and 83,724.48

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Solution

The fourth proportional to 305,340.48, 458,011.44 and 83,724.48 is: 125,586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,340.48 : 458,011.44 = 83,724.48 : x
  2. Step 2: Convert to fraction form
    305,340.48/458,011.44 = 83,724.48/x
  3. Step 3: Cross multiply
    305,340.48x = 458,011.44 × 83,724.48
  4. Step 4: Simplify right side
    305,340.48x = 38,346,769,648.05
  5. Step 5: Solve for x
    x = 38,346,769,648.05/305,340.48
  6. Step 6: Final answer
    x = 125,586.92

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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.