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Finding the Fourth Proportional to 304,197, 456,295.50 and 82,581

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Solution

The fourth proportional to 304,197, 456,295.50 and 82,581 is: 123,871.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,197 : 456,295.50 = 82,581 : x
  2. Step 2: Convert to fraction form
    304,197/456,295.50 = 82,581/x
  3. Step 3: Cross multiply
    304,197x = 456,295.50 × 82,581
  4. Step 4: Simplify right side
    304,197x = 37,681,338,685.50
  5. Step 5: Solve for x
    x = 37,681,338,685.50/304,197
  6. Step 6: Final answer
    x = 123,871.50

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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.