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Finding the Fourth Proportional to 424,390.16, 585,660.05 and 233,415.56

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Solution

The fourth proportional to 424,390.16, 585,660.05 and 233,415.56 is: 322,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,390.16 : 585,660.05 = 233,415.56 : x
  2. Step 2: Convert to fraction form
    424,390.16/585,660.05 = 233,415.56/x
  3. Step 3: Cross multiply
    424,390.16x = 585,660.05 × 233,415.56
  4. Step 4: Simplify right side
    424,390.16x = 136,702,168,540.38
  5. Step 5: Solve for x
    x = 136,702,168,540.38/424,390.16
  6. Step 6: Final answer
    x = 322,114.37

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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.