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Finding the Fourth Proportional to 298,047.52, 411,305.34 and 163,911.52

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Solution

The fourth proportional to 298,047.52, 411,305.34 and 163,911.52 is: 226,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,047.52 : 411,305.34 = 163,911.52 : x
  2. Step 2: Convert to fraction form
    298,047.52/411,305.34 = 163,911.52/x
  3. Step 3: Cross multiply
    298,047.52x = 411,305.34 × 163,911.52
  4. Step 4: Simplify right side
    298,047.52x = 67,417,683,463.52
  5. Step 5: Solve for x
    x = 67,417,683,463.52/298,047.52
  6. Step 6: Final answer
    x = 226,197.77

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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.