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Finding the Fourth Proportional to 298,045.48, 411,294.50 and 163,909.48

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Solution

The fourth proportional to 298,045.48, 411,294.50 and 163,909.48 is: 226,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,045.48 : 411,294.50 = 163,909.48 : x
  2. Step 2: Convert to fraction form
    298,045.48/411,294.50 = 163,909.48/x
  3. Step 3: Cross multiply
    298,045.48x = 411,294.50 × 163,909.48
  4. Step 4: Simplify right side
    298,045.48x = 67,415,067,621.86
  5. Step 5: Solve for x
    x = 67,415,067,621.86/298,045.48
  6. Step 6: Final answer
    x = 226,190.54

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Why These Related Problems?

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