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Finding the Fourth Proportional to 278,692.40, 418,038.60 and 200,543.60

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Solution

The fourth proportional to 278,692.40, 418,038.60 and 200,543.60 is: 300,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,692.40 : 418,038.60 = 200,543.60 : x
  2. Step 2: Convert to fraction form
    278,692.40/418,038.60 = 200,543.60/x
  3. Step 3: Cross multiply
    278,692.40x = 418,038.60 × 200,543.60
  4. Step 4: Simplify right side
    278,692.40x = 83,834,965,782.96
  5. Step 5: Solve for x
    x = 83,834,965,782.96/278,692.40
  6. Step 6: Final answer
    x = 300,815.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.