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Finding the Fourth Proportional to 405,969.89, 560,183.00 and 233,823.83

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Solution

The fourth proportional to 405,969.89, 560,183.00 and 233,823.83 is: 322,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,969.89 : 560,183.00 = 233,823.83 : x
  2. Step 2: Convert to fraction form
    405,969.89/560,183.00 = 233,823.83/x
  3. Step 3: Cross multiply
    405,969.89x = 560,183.00 × 233,823.83
  4. Step 4: Simplify right side
    405,969.89x = 130,984,134,792.23
  5. Step 5: Solve for x
    x = 130,984,134,792.23/405,969.89
  6. Step 6: Final answer
    x = 322,644.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.