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Finding the Fourth Proportional to 505,046.81, 757,430.06 and 140,224.61

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Solution

The fourth proportional to 505,046.81, 757,430.06 and 140,224.61 is: 210,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,046.81 : 757,430.06 = 140,224.61 : x
  2. Step 2: Convert to fraction form
    505,046.81/757,430.06 = 140,224.61/x
  3. Step 3: Cross multiply
    505,046.81x = 757,430.06 × 140,224.61
  4. Step 4: Simplify right side
    505,046.81x = 106,210,330,277.50
  5. Step 5: Solve for x
    x = 106,210,330,277.50/505,046.81
  6. Step 6: Final answer
    x = 210,297.99

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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.