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Finding the Fourth Proportional to 312,685.89, 469,023.85 and 99,450.72

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Solution

The fourth proportional to 312,685.89, 469,023.85 and 99,450.72 is: 149,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,685.89 : 469,023.85 = 99,450.72 : x
  2. Step 2: Convert to fraction form
    312,685.89/469,023.85 = 99,450.72/x
  3. Step 3: Cross multiply
    312,685.89x = 469,023.85 × 99,450.72
  4. Step 4: Simplify right side
    312,685.89x = 46,644,759,703.99
  5. Step 5: Solve for x
    x = 46,644,759,703.99/312,685.89
  6. Step 6: Final answer
    x = 149,174.50

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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.