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Finding the Fourth Proportional to 464,903.12, 697,351.44 and 132,479.12

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Solution

The fourth proportional to 464,903.12, 697,351.44 and 132,479.12 is: 198,717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,903.12 : 697,351.44 = 132,479.12 : x
  2. Step 2: Convert to fraction form
    464,903.12/697,351.44 = 132,479.12/x
  3. Step 3: Cross multiply
    464,903.12x = 697,351.44 × 132,479.12
  4. Step 4: Simplify right side
    464,903.12x = 92,384,505,101.93
  5. Step 5: Solve for x
    x = 92,384,505,101.93/464,903.12
  6. Step 6: Final answer
    x = 198,717.76

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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.