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Finding the Fourth Proportional to 424,275.21, 585,502.02 and 233,300.97

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Solution

The fourth proportional to 424,275.21, 585,502.02 and 233,300.97 is: 321,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,275.21 : 585,502.02 = 233,300.97 : x
  2. Step 2: Convert to fraction form
    424,275.21/585,502.02 = 233,300.97/x
  3. Step 3: Cross multiply
    424,275.21x = 585,502.02 × 233,300.97
  4. Step 4: Simplify right side
    424,275.21x = 136,598,189,202.96
  5. Step 5: Solve for x
    x = 136,598,189,202.96/424,275.21
  6. Step 6: Final answer
    x = 321,956.56

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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.