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Finding the Fourth Proportional to 296,470.29, 444,729.93 and 96,786.27

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Solution

The fourth proportional to 296,470.29, 444,729.93 and 96,786.27 is: 145,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,470.29 : 444,729.93 = 96,786.27 : x
  2. Step 2: Convert to fraction form
    296,470.29/444,729.93 = 96,786.27/x
  3. Step 3: Cross multiply
    296,470.29x = 444,729.93 × 96,786.27
  4. Step 4: Simplify right side
    296,470.29x = 43,043,751,082.06
  5. Step 5: Solve for x
    x = 43,043,751,082.06/296,470.29
  6. Step 6: Final answer
    x = 145,187.40

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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.