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Finding the Fourth Proportional to 340,751.34, 470,240.06 and 187,795.13

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Solution

The fourth proportional to 340,751.34, 470,240.06 and 187,795.13 is: 259,159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,751.34 : 470,240.06 = 187,795.13 : x
  2. Step 2: Convert to fraction form
    340,751.34/470,240.06 = 187,795.13/x
  3. Step 3: Cross multiply
    340,751.34x = 470,240.06 × 187,795.13
  4. Step 4: Simplify right side
    340,751.34x = 88,308,789,908.73
  5. Step 5: Solve for x
    x = 88,308,789,908.73/340,751.34
  6. Step 6: Final answer
    x = 259,159.04

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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.