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Finding the Fourth Proportional to 305,966.40, 458,823.26 and 132,869.40

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Solution

The fourth proportional to 305,966.40, 458,823.26 and 132,869.40 is: 199,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,966.40 : 458,823.26 = 132,869.40 : x
  2. Step 2: Convert to fraction form
    305,966.40/458,823.26 = 132,869.40/x
  3. Step 3: Cross multiply
    305,966.40x = 458,823.26 × 132,869.40
  4. Step 4: Simplify right side
    305,966.40x = 60,963,571,262.24
  5. Step 5: Solve for x
    x = 60,963,571,262.24/305,966.40
  6. Step 6: Final answer
    x = 199,249.24

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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.