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Finding the Fourth Proportional to 419,403.36, 578,783.30 and 238,111.59

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Solution

The fourth proportional to 419,403.36, 578,783.30 and 238,111.59 is: 328,597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,403.36 : 578,783.30 = 238,111.59 : x
  2. Step 2: Convert to fraction form
    419,403.36/578,783.30 = 238,111.59/x
  3. Step 3: Cross multiply
    419,403.36x = 578,783.30 × 238,111.59
  4. Step 4: Simplify right side
    419,403.36x = 137,815,010,637.89
  5. Step 5: Solve for x
    x = 137,815,010,637.89/419,403.36
  6. Step 6: Final answer
    x = 328,597.77

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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.