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Finding the Fourth Proportional to 689,738, 1,033,605.48 and 490,459.28

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Solution

The fourth proportional to 689,738, 1,033,605.48 and 490,459.28 is: 734,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,738 : 1,033,605.48 = 490,459.28 : x
  2. Step 2: Convert to fraction form
    689,738/1,033,605.48 = 490,459.28/x
  3. Step 3: Cross multiply
    689,738x = 1,033,605.48 × 490,459.28
  4. Step 4: Simplify right side
    689,738x = 506,941,399,524.85
  5. Step 5: Solve for x
    x = 506,941,399,524.85/689,738
  6. Step 6: Final answer
    x = 734,976.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.