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Finding the Fourth Proportional to 304,961.82, 457,442.64 and 147,497.82

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Solution

The fourth proportional to 304,961.82, 457,442.64 and 147,497.82 is: 221,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,961.82 : 457,442.64 = 147,497.82 : x
  2. Step 2: Convert to fraction form
    304,961.82/457,442.64 = 147,497.82/x
  3. Step 3: Cross multiply
    304,961.82x = 457,442.64 × 147,497.82
  4. Step 4: Simplify right side
    304,961.82x = 67,471,792,175.04
  5. Step 5: Solve for x
    x = 67,471,792,175.04/304,961.82
  6. Step 6: Final answer
    x = 221,246.69

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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.