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Finding the Fourth Proportional to 474,402.30, 711,603.45 and 194,120.70

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Solution

The fourth proportional to 474,402.30, 711,603.45 and 194,120.70 is: 291,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,402.30 : 711,603.45 = 194,120.70 : x
  2. Step 2: Convert to fraction form
    474,402.30/711,603.45 = 194,120.70/x
  3. Step 3: Cross multiply
    474,402.30x = 711,603.45 × 194,120.70
  4. Step 4: Simplify right side
    474,402.30x = 138,136,959,836.42
  5. Step 5: Solve for x
    x = 138,136,959,836.42/474,402.30
  6. Step 6: Final answer
    x = 291,181.05

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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.