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Finding the Fourth Proportional to 490,699.20, 735,530.40 and 279,883.20

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Solution

The fourth proportional to 490,699.20, 735,530.40 and 279,883.20 is: 419,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,699.20 : 735,530.40 = 279,883.20 : x
  2. Step 2: Convert to fraction form
    490,699.20/735,530.40 = 279,883.20/x
  3. Step 3: Cross multiply
    490,699.20x = 735,530.40 × 279,883.20
  4. Step 4: Simplify right side
    490,699.20x = 205,862,602,049.28
  5. Step 5: Solve for x
    x = 205,862,602,049.28/490,699.20
  6. Step 6: Final answer
    x = 419,529.12

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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.