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Finding the Fourth Proportional to 294,070.88, 405,910.32 and 166,831.04

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Solution

The fourth proportional to 294,070.88, 405,910.32 and 166,831.04 is: 230,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,070.88 : 405,910.32 = 166,831.04 : x
  2. Step 2: Convert to fraction form
    294,070.88/405,910.32 = 166,831.04/x
  3. Step 3: Cross multiply
    294,070.88x = 405,910.32 × 166,831.04
  4. Step 4: Simplify right side
    294,070.88x = 67,718,440,832.33
  5. Step 5: Solve for x
    x = 67,718,440,832.33/294,070.88
  6. Step 6: Final answer
    x = 230,279.32

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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.