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Finding the Fourth Proportional to 304,961.07, 457,441.52 and 147,497.07

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Solution

The fourth proportional to 304,961.07, 457,441.52 and 147,497.07 is: 221,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,961.07 : 457,441.52 = 147,497.07 : x
  2. Step 2: Convert to fraction form
    304,961.07/457,441.52 = 147,497.07/x
  3. Step 3: Cross multiply
    304,961.07x = 457,441.52 × 147,497.07
  4. Step 4: Simplify right side
    304,961.07x = 67,471,283,158.86
  5. Step 5: Solve for x
    x = 67,471,283,158.86/304,961.07
  6. Step 6: Final answer
    x = 221,245.56

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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.