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Finding the Fourth Proportional to 419,692.59, 579,158.91 and 228,701.88

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Solution

The fourth proportional to 419,692.59, 579,158.91 and 228,701.88 is: 315,599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,692.59 : 579,158.91 = 228,701.88 : x
  2. Step 2: Convert to fraction form
    419,692.59/579,158.91 = 228,701.88/x
  3. Step 3: Cross multiply
    419,692.59x = 579,158.91 × 228,701.88
  4. Step 4: Simplify right side
    419,692.59x = 132,454,731,535.75
  5. Step 5: Solve for x
    x = 132,454,731,535.75/419,692.59
  6. Step 6: Final answer
    x = 315,599.40

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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.