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Finding the Fourth Proportional to 304,632.66, 420,439.50 and 189,929.92

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Solution

The fourth proportional to 304,632.66, 420,439.50 and 189,929.92 is: 262,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,632.66 : 420,439.50 = 189,929.92 : x
  2. Step 2: Convert to fraction form
    304,632.66/420,439.50 = 189,929.92/x
  3. Step 3: Cross multiply
    304,632.66x = 420,439.50 × 189,929.92
  4. Step 4: Simplify right side
    304,632.66x = 79,854,040,599.84
  5. Step 5: Solve for x
    x = 79,854,040,599.84/304,632.66
  6. Step 6: Final answer
    x = 262,132.24

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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.