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Finding the Fourth Proportional to 347,112.95, 520,680.76 and 119,406.22

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Solution

The fourth proportional to 347,112.95, 520,680.76 and 119,406.22 is: 179,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,112.95 : 520,680.76 = 119,406.22 : x
  2. Step 2: Convert to fraction form
    347,112.95/520,680.76 = 119,406.22/x
  3. Step 3: Cross multiply
    347,112.95x = 520,680.76 × 119,406.22
  4. Step 4: Simplify right side
    347,112.95x = 62,172,519,778.11
  5. Step 5: Solve for x
    x = 62,172,519,778.11/347,112.95
  6. Step 6: Final answer
    x = 179,113.23

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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.