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Finding the Fourth Proportional to 490,577.06, 735,723.42 and 190,990.85

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Solution

The fourth proportional to 490,577.06, 735,723.42 and 190,990.85 is: 286,430.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,577.06 : 735,723.42 = 190,990.85 : x
  2. Step 2: Convert to fraction form
    490,577.06/735,723.42 = 190,990.85/x
  3. Step 3: Cross multiply
    490,577.06x = 735,723.42 × 190,990.85
  4. Step 4: Simplify right side
    490,577.06x = 140,516,441,350.71
  5. Step 5: Solve for x
    x = 140,516,441,350.71/490,577.06
  6. Step 6: Final answer
    x = 286,430.93

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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.