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Finding the Fourth Proportional to 298,046.52, 411,303.96 and 163,910.52

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Solution

The fourth proportional to 298,046.52, 411,303.96 and 163,910.52 is: 226,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,046.52 : 411,303.96 = 163,910.52 : x
  2. Step 2: Convert to fraction form
    298,046.52/411,303.96 = 163,910.52/x
  3. Step 3: Cross multiply
    298,046.52x = 411,303.96 × 163,910.52
  4. Step 4: Simplify right side
    298,046.52x = 67,417,045,961.66
  5. Step 5: Solve for x
    x = 67,417,045,961.66/298,046.52
  6. Step 6: Final answer
    x = 226,196.39

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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.