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Finding the Fourth Proportional to 304,200, 456,300 and 82,584

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Solution

The fourth proportional to 304,200, 456,300 and 82,584 is: 123,876

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,200 : 456,300 = 82,584 : x
  2. Step 2: Convert to fraction form
    304,200/456,300 = 82,584/x
  3. Step 3: Cross multiply
    304,200x = 456,300 × 82,584
  4. Step 4: Simplify right side
    304,200x = 37,683,079,200
  5. Step 5: Solve for x
    x = 37,683,079,200/304,200
  6. Step 6: Final answer
    x = 123,876

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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.