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Finding the Fourth Proportional to 291,960.90, 402,929.37 and 164,648.34

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Solution

The fourth proportional to 291,960.90, 402,929.37 and 164,648.34 is: 227,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,960.90 : 402,929.37 = 164,648.34 : x
  2. Step 2: Convert to fraction form
    291,960.90/402,929.37 = 164,648.34/x
  3. Step 3: Cross multiply
    291,960.90x = 402,929.37 × 164,648.34
  4. Step 4: Simplify right side
    291,960.90x = 66,341,651,907.75
  5. Step 5: Solve for x
    x = 66,341,651,907.75/291,960.90
  6. Step 6: Final answer
    x = 227,227.86

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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.