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Finding the Fourth Proportional to 474,460.80, 711,691.67 and 193,978.05

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Solution

The fourth proportional to 474,460.80, 711,691.67 and 193,978.05 is: 290,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,460.80 : 711,691.67 = 193,978.05 : x
  2. Step 2: Convert to fraction form
    474,460.80/711,691.67 = 193,978.05/x
  3. Step 3: Cross multiply
    474,460.80x = 711,691.67 × 193,978.05
  4. Step 4: Simplify right side
    474,460.80x = 138,052,562,347.84
  5. Step 5: Solve for x
    x = 138,052,562,347.84/474,460.80
  6. Step 6: Final answer
    x = 290,967.27

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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.