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Finding the Fourth Proportional to 293,696, 440,542.56 and 83,334.32

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Solution

The fourth proportional to 293,696, 440,542.56 and 83,334.32 is: 125,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,696 : 440,542.56 = 83,334.32 : x
  2. Step 2: Convert to fraction form
    293,696/440,542.56 = 83,334.32/x
  3. Step 3: Cross multiply
    293,696x = 440,542.56 × 83,334.32
  4. Step 4: Simplify right side
    293,696x = 36,712,314,668.66
  5. Step 5: Solve for x
    x = 36,712,314,668.66/293,696
  6. Step 6: Final answer
    x = 125,001.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.