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Finding the Fourth Proportional to 2,074,369, 3,111,553.50 and 498,433

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Solution

The fourth proportional to 2,074,369, 3,111,553.50 and 498,433 is: 747,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074,369 : 3,111,553.50 = 498,433 : x
  2. Step 2: Convert to fraction form
    2,074,369/3,111,553.50 = 498,433/x
  3. Step 3: Cross multiply
    2,074,369x = 3,111,553.50 × 498,433
  4. Step 4: Simplify right side
    2,074,369x = 1,550,900,945,665.50
  5. Step 5: Solve for x
    x = 1,550,900,945,665.50/2,074,369
  6. Step 6: Final answer
    x = 747,649.50

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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.