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Finding the Fourth Proportional to 419,965.83, 579,531.92 and 238,653.81

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Solution

The fourth proportional to 419,965.83, 579,531.92 and 238,653.81 is: 329,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,965.83 : 579,531.92 = 238,653.81 : x
  2. Step 2: Convert to fraction form
    419,965.83/579,531.92 = 238,653.81/x
  3. Step 3: Cross multiply
    419,965.83x = 579,531.92 × 238,653.81
  4. Step 4: Simplify right side
    419,965.83x = 138,307,499,531.35
  5. Step 5: Solve for x
    x = 138,307,499,531.35/419,965.83
  6. Step 6: Final answer
    x = 329,330.36

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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.