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Finding the Fourth Proportional to 424,498.20, 585,804.24 and 233,507.40

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Solution

The fourth proportional to 424,498.20, 585,804.24 and 233,507.40 is: 322,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,498.20 : 585,804.24 = 233,507.40 : x
  2. Step 2: Convert to fraction form
    424,498.20/585,804.24 = 233,507.40/x
  3. Step 3: Cross multiply
    424,498.20x = 585,804.24 × 233,507.40
  4. Step 4: Simplify right side
    424,498.20x = 136,789,624,991.38
  5. Step 5: Solve for x
    x = 136,789,624,991.38/424,498.20
  6. Step 6: Final answer
    x = 322,238.41

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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.