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Finding the Fourth Proportional to 313,058.50, 469,587.76 and 146,846.50

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Solution

The fourth proportional to 313,058.50, 469,587.76 and 146,846.50 is: 220,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,058.50 : 469,587.76 = 146,846.50 : x
  2. Step 2: Convert to fraction form
    313,058.50/469,587.76 = 146,846.50/x
  3. Step 3: Cross multiply
    313,058.50x = 469,587.76 × 146,846.50
  4. Step 4: Simplify right side
    313,058.50x = 68,957,318,998.84
  5. Step 5: Solve for x
    x = 68,957,318,998.84/313,058.50
  6. Step 6: Final answer
    x = 220,269.75

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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.