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Finding the Fourth Proportional to 536,997.87, 741,037.14 and 295,266.06

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Solution

The fourth proportional to 536,997.87, 741,037.14 and 295,266.06 is: 407,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,997.87 : 741,037.14 = 295,266.06 : x
  2. Step 2: Convert to fraction form
    536,997.87/741,037.14 = 295,266.06/x
  3. Step 3: Cross multiply
    536,997.87x = 741,037.14 × 295,266.06
  4. Step 4: Simplify right side
    536,997.87x = 218,803,116,641.47
  5. Step 5: Solve for x
    x = 218,803,116,641.47/536,997.87
  6. Step 6: Final answer
    x = 407,456.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.