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Finding the Fourth Proportional to 474,461.80, 711,692.70 and 194,180.20

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Solution

The fourth proportional to 474,461.80, 711,692.70 and 194,180.20 is: 291,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,461.80 : 711,692.70 = 194,180.20 : x
  2. Step 2: Convert to fraction form
    474,461.80/711,692.70 = 194,180.20/x
  3. Step 3: Cross multiply
    474,461.80x = 711,692.70 × 194,180.20
  4. Step 4: Simplify right side
    474,461.80x = 138,196,630,824.54
  5. Step 5: Solve for x
    x = 138,196,630,824.54/474,461.80
  6. Step 6: Final answer
    x = 291,270.30

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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.