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Finding the Fourth Proportional to 314,777.13, 472,257.99 and 101,540.76

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Solution

The fourth proportional to 314,777.13, 472,257.99 and 101,540.76 is: 152,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,777.13 : 472,257.99 = 101,540.76 : x
  2. Step 2: Convert to fraction form
    314,777.13/472,257.99 = 101,540.76/x
  3. Step 3: Cross multiply
    314,777.13x = 472,257.99 × 101,540.76
  4. Step 4: Simplify right side
    314,777.13x = 47,953,435,220.67
  5. Step 5: Solve for x
    x = 47,953,435,220.67/314,777.13
  6. Step 6: Final answer
    x = 152,340.91

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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.