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Finding the Fourth Proportional to 419,904.64, 579,447.36 and 238,592.64

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Solution

The fourth proportional to 419,904.64, 579,447.36 and 238,592.64 is: 329,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904.64 : 579,447.36 = 238,592.64 : x
  2. Step 2: Convert to fraction form
    419,904.64/579,447.36 = 238,592.64/x
  3. Step 3: Cross multiply
    419,904.64x = 579,447.36 × 238,592.64
  4. Step 4: Simplify right side
    419,904.64x = 138,251,875,363.43
  5. Step 5: Solve for x
    x = 138,251,875,363.43/419,904.64
  6. Step 6: Final answer
    x = 329,245.89

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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.