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Finding the Fourth Proportional to 385,342.20, 578,114.10 and 148,692.60

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Solution

The fourth proportional to 385,342.20, 578,114.10 and 148,692.60 is: 223,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,342.20 : 578,114.10 = 148,692.60 : x
  2. Step 2: Convert to fraction form
    385,342.20/578,114.10 = 148,692.60/x
  3. Step 3: Cross multiply
    385,342.20x = 578,114.10 × 148,692.60
  4. Step 4: Simplify right side
    385,342.20x = 85,961,288,625.66
  5. Step 5: Solve for x
    x = 85,961,288,625.66/385,342.20
  6. Step 6: Final answer
    x = 223,077.80

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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.