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Finding the Fourth Proportional to 340,713.15, 470,177.81 and 187,765.52

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Solution

The fourth proportional to 340,713.15, 470,177.81 and 187,765.52 is: 259,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,713.15 : 470,177.81 = 187,765.52 : x
  2. Step 2: Convert to fraction form
    340,713.15/470,177.81 = 187,765.52/x
  3. Step 3: Cross multiply
    340,713.15x = 470,177.81 × 187,765.52
  4. Step 4: Simplify right side
    340,713.15x = 88,283,177,697.39
  5. Step 5: Solve for x
    x = 88,283,177,697.39/340,713.15
  6. Step 6: Final answer
    x = 259,112.92

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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.