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Finding the Fourth Proportional to 340,711.65, 470,175.74 and 187,764.01

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Solution

The fourth proportional to 340,711.65, 470,175.74 and 187,764.01 is: 259,110.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,711.65 : 470,175.74 = 187,764.01 : x
  2. Step 2: Convert to fraction form
    340,711.65/470,175.74 = 187,764.01/x
  3. Step 3: Cross multiply
    340,711.65x = 470,175.74 × 187,764.01
  4. Step 4: Simplify right side
    340,711.65x = 88,282,080,936.97
  5. Step 5: Solve for x
    x = 88,282,080,936.97/340,711.65
  6. Step 6: Final answer
    x = 259,110.84

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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.