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Finding the Fourth Proportional to 419,239.14, 578,548.50 and 228,252.48

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Solution

The fourth proportional to 419,239.14, 578,548.50 and 228,252.48 is: 314,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,239.14 : 578,548.50 = 228,252.48 : x
  2. Step 2: Convert to fraction form
    419,239.14/578,548.50 = 228,252.48/x
  3. Step 3: Cross multiply
    419,239.14x = 578,548.50 × 228,252.48
  4. Step 4: Simplify right side
    419,239.14x = 132,055,129,925.28
  5. Step 5: Solve for x
    x = 132,055,129,925.28/419,239.14
  6. Step 6: Final answer
    x = 314,987.60

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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.