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Finding the Fourth Proportional to 424,206, 585,417.96 and 233,233.20

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Solution

The fourth proportional to 424,206, 585,417.96 and 233,233.20 is: 321,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,206 : 585,417.96 = 233,233.20 : x
  2. Step 2: Convert to fraction form
    424,206/585,417.96 = 233,233.20/x
  3. Step 3: Cross multiply
    424,206x = 585,417.96 × 233,233.20
  4. Step 4: Simplify right side
    424,206x = 136,538,904,148.27
  5. Step 5: Solve for x
    x = 136,538,904,148.27/424,206
  6. Step 6: Final answer
    x = 321,869.34

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