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Finding the Fourth Proportional to 490,577.55, 735,724.16 and 190,991.35

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Solution

The fourth proportional to 490,577.55, 735,724.16 and 190,991.35 is: 286,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,577.55 : 735,724.16 = 190,991.35 : x
  2. Step 2: Convert to fraction form
    490,577.55/735,724.16 = 190,991.35/x
  3. Step 3: Cross multiply
    490,577.55x = 735,724.16 × 190,991.35
  4. Step 4: Simplify right side
    490,577.55x = 140,516,950,546.02
  5. Step 5: Solve for x
    x = 140,516,950,546.02/490,577.55
  6. Step 6: Final answer
    x = 286,431.68

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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.