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Finding the Fourth Proportional to 340,716.71, 470,182.73 and 187,769.07

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Solution

The fourth proportional to 340,716.71, 470,182.73 and 187,769.07 is: 259,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,716.71 : 470,182.73 = 187,769.07 : x
  2. Step 2: Convert to fraction form
    340,716.71/470,182.73 = 187,769.07/x
  3. Step 3: Cross multiply
    340,716.71x = 470,182.73 × 187,769.07
  4. Step 4: Simplify right side
    340,716.71x = 88,285,773,003.32
  5. Step 5: Solve for x
    x = 88,285,773,003.32/340,716.71
  6. Step 6: Final answer
    x = 259,117.82

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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.