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Finding the Fourth Proportional to 298,041.32, 411,288.82 and 163,905.32

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Solution

The fourth proportional to 298,041.32, 411,288.82 and 163,905.32 is: 226,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,041.32 : 411,288.82 = 163,905.32 : x
  2. Step 2: Convert to fraction form
    298,041.32/411,288.82 = 163,905.32/x
  3. Step 3: Cross multiply
    298,041.32x = 411,288.82 × 163,905.32
  4. Step 4: Simplify right side
    298,041.32x = 67,412,425,654.52
  5. Step 5: Solve for x
    x = 67,412,425,654.52/298,041.32
  6. Step 6: Final answer
    x = 226,184.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.