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Finding the Fourth Proportional to 424,574.21, 585,912.39 and 233,583.50

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Solution

The fourth proportional to 424,574.21, 585,912.39 and 233,583.50 is: 322,345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,574.21 : 585,912.39 = 233,583.50 : x
  2. Step 2: Convert to fraction form
    424,574.21/585,912.39 = 233,583.50/x
  3. Step 3: Cross multiply
    424,574.21x = 585,912.39 × 233,583.50
  4. Step 4: Simplify right side
    424,574.21x = 136,859,466,749.57
  5. Step 5: Solve for x
    x = 136,859,466,749.57/424,574.21
  6. Step 6: Final answer
    x = 322,345.22

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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.