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Finding the Fourth Proportional to 301,363.56, 452,038.05 and 76,724.48

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Solution

The fourth proportional to 301,363.56, 452,038.05 and 76,724.48 is: 115,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,363.56 : 452,038.05 = 76,724.48 : x
  2. Step 2: Convert to fraction form
    301,363.56/452,038.05 = 76,724.48/x
  3. Step 3: Cross multiply
    301,363.56x = 452,038.05 × 76,724.48
  4. Step 4: Simplify right side
    301,363.56x = 34,682,385,456.56
  5. Step 5: Solve for x
    x = 34,682,385,456.56/301,363.56
  6. Step 6: Final answer
    x = 115,084.87

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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.