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Finding the Fourth Proportional to 340,711.56, 470,208.51 and 187,777.17

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Solution

The fourth proportional to 340,711.56, 470,208.51 and 187,777.17 is: 259,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,711.56 : 470,208.51 = 187,777.17 : x
  2. Step 2: Convert to fraction form
    340,711.56/470,208.51 = 187,777.17/x
  3. Step 3: Cross multiply
    340,711.56x = 470,208.51 × 187,777.17
  4. Step 4: Simplify right side
    340,711.56x = 88,294,423,317.72
  5. Step 5: Solve for x
    x = 88,294,423,317.72/340,711.56
  6. Step 6: Final answer
    x = 259,147.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.