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Finding the Fourth Proportional to 341,223.29, 470,889.78 and 188,261.47

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Solution

The fourth proportional to 341,223.29, 470,889.78 and 188,261.47 is: 259,801.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,223.29 : 470,889.78 = 188,261.47 : x
  2. Step 2: Convert to fraction form
    341,223.29/470,889.78 = 188,261.47/x
  3. Step 3: Cross multiply
    341,223.29x = 470,889.78 × 188,261.47
  4. Step 4: Simplify right side
    341,223.29x = 88,650,402,073.41
  5. Step 5: Solve for x
    x = 88,650,402,073.41/341,223.29
  6. Step 6: Final answer
    x = 259,801.73

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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.