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Finding the Fourth Proportional to 419,724.81, 579,201.84 and 238,436.01

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Solution

The fourth proportional to 419,724.81, 579,201.84 and 238,436.01 is: 329,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,724.81 : 579,201.84 = 238,436.01 : x
  2. Step 2: Convert to fraction form
    419,724.81/579,201.84 = 238,436.01/x
  3. Step 3: Cross multiply
    419,724.81x = 579,201.84 × 238,436.01
  4. Step 4: Simplify right side
    419,724.81x = 138,102,575,714.26
  5. Step 5: Solve for x
    x = 138,102,575,714.26/419,724.81
  6. Step 6: Final answer
    x = 329,031.24

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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.