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Finding the Fourth Proportional to 544,849, 817,273.50 and 150,865

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Solution

The fourth proportional to 544,849, 817,273.50 and 150,865 is: 226,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,849 : 817,273.50 = 150,865 : x
  2. Step 2: Convert to fraction form
    544,849/817,273.50 = 150,865/x
  3. Step 3: Cross multiply
    544,849x = 817,273.50 × 150,865
  4. Step 4: Simplify right side
    544,849x = 123,297,966,577.50
  5. Step 5: Solve for x
    x = 123,297,966,577.50/544,849
  6. Step 6: Final answer
    x = 226,297.50

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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.