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Finding the Fourth Proportional to 314,014.92, 471,222.18 and 114,315.90

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Solution

The fourth proportional to 314,014.92, 471,222.18 and 114,315.90 is: 171,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,014.92 : 471,222.18 = 114,315.90 : x
  2. Step 2: Convert to fraction form
    314,014.92/471,222.18 = 114,315.90/x
  3. Step 3: Cross multiply
    314,014.92x = 471,222.18 × 114,315.90
  4. Step 4: Simplify right side
    314,014.92x = 53,868,187,606.66
  5. Step 5: Solve for x
    x = 53,868,187,606.66/314,014.92
  6. Step 6: Final answer
    x = 171,546.59

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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.