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Finding the Fourth Proportional to 474,461.80, 711,693.17 and 193,979.05

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Solution

The fourth proportional to 474,461.80, 711,693.17 and 193,979.05 is: 290,968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,461.80 : 711,693.17 = 193,979.05 : x
  2. Step 2: Convert to fraction form
    474,461.80/711,693.17 = 193,979.05/x
  3. Step 3: Cross multiply
    474,461.80x = 711,693.17 × 193,979.05
  4. Step 4: Simplify right side
    474,461.80x = 138,053,565,008.09
  5. Step 5: Solve for x
    x = 138,053,565,008.09/474,461.80
  6. Step 6: Final answer
    x = 290,968.77

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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.