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Finding the Fourth Proportional to 298,063.98, 411,322.58 and 163,927.98

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Solution

The fourth proportional to 298,063.98, 411,322.58 and 163,927.98 is: 226,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,063.98 : 411,322.58 = 163,927.98 : x
  2. Step 2: Convert to fraction form
    298,063.98/411,322.58 = 163,927.98/x
  3. Step 3: Cross multiply
    298,063.98x = 411,322.58 × 163,927.98
  4. Step 4: Simplify right side
    298,063.98x = 67,427,279,667.79
  5. Step 5: Solve for x
    x = 67,427,279,667.79/298,063.98
  6. Step 6: Final answer
    x = 226,217.47

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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.