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Finding the Fourth Proportional to 419,261.58, 578,561.67 and 228,274.38

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Solution

The fourth proportional to 419,261.58, 578,561.67 and 228,274.38 is: 315,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,261.58 : 578,561.67 = 228,274.38 : x
  2. Step 2: Convert to fraction form
    419,261.58/578,561.67 = 228,274.38/x
  3. Step 3: Cross multiply
    419,261.58x = 578,561.67 × 228,274.38
  4. Step 4: Simplify right side
    419,261.58x = 132,070,806,511.02
  5. Step 5: Solve for x
    x = 132,070,806,511.02/419,261.58
  6. Step 6: Final answer
    x = 315,008.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.