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Finding the Fourth Proportional to 305,901.50, 458,917.90 and 128,306.16

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Solution

The fourth proportional to 305,901.50, 458,917.90 and 128,306.16 is: 192,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,901.50 : 458,917.90 = 128,306.16 : x
  2. Step 2: Convert to fraction form
    305,901.50/458,917.90 = 128,306.16/x
  3. Step 3: Cross multiply
    305,901.50x = 458,917.90 × 128,306.16
  4. Step 4: Simplify right side
    305,901.50x = 58,881,993,905.22
  5. Step 5: Solve for x
    x = 58,881,993,905.22/305,901.50
  6. Step 6: Final answer
    x = 192,486.78

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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.