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Finding the Fourth Proportional to 474,489.01, 711,736.25 and 194,006.26

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Solution

The fourth proportional to 474,489.01, 711,736.25 and 194,006.26 is: 291,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,489.01 : 711,736.25 = 194,006.26 : x
  2. Step 2: Convert to fraction form
    474,489.01/711,736.25 = 194,006.26/x
  3. Step 3: Cross multiply
    474,489.01x = 711,736.25 × 194,006.26
  4. Step 4: Simplify right side
    474,489.01x = 138,081,287,968.93
  5. Step 5: Solve for x
    x = 138,081,287,968.93/474,489.01
  6. Step 6: Final answer
    x = 291,010.51

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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.