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Finding the Fourth Proportional to 340,751.46, 470,240.23 and 187,795.24

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Solution

The fourth proportional to 340,751.46, 470,240.23 and 187,795.24 is: 259,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,751.46 : 470,240.23 = 187,795.24 : x
  2. Step 2: Convert to fraction form
    340,751.46/470,240.23 = 187,795.24/x
  3. Step 3: Cross multiply
    340,751.46x = 470,240.23 × 187,795.24
  4. Step 4: Simplify right side
    340,751.46x = 88,308,877,556.62
  5. Step 5: Solve for x
    x = 88,308,877,556.62/340,751.46
  6. Step 6: Final answer
    x = 259,159.21

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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.