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Finding the Fourth Proportional to 312,294.24, 468,402.48 and 101,914.56

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Solution

The fourth proportional to 312,294.24, 468,402.48 and 101,914.56 is: 152,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,294.24 : 468,402.48 = 101,914.56 : x
  2. Step 2: Convert to fraction form
    312,294.24/468,402.48 = 101,914.56/x
  3. Step 3: Cross multiply
    312,294.24x = 468,402.48 × 101,914.56
  4. Step 4: Simplify right side
    312,294.24x = 47,737,032,652.11
  5. Step 5: Solve for x
    x = 47,737,032,652.11/312,294.24
  6. Step 6: Final answer
    x = 152,859.15

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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.