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Finding the Fourth Proportional to 298,081.02, 411,349.86 and 169,043.88

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Solution

The fourth proportional to 298,081.02, 411,349.86 and 169,043.88 is: 233,279.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,081.02 : 411,349.86 = 169,043.88 : x
  2. Step 2: Convert to fraction form
    298,081.02/411,349.86 = 169,043.88/x
  3. Step 3: Cross multiply
    298,081.02x = 411,349.86 × 169,043.88
  4. Step 4: Simplify right side
    298,081.02x = 69,536,176,371.86
  5. Step 5: Solve for x
    x = 69,536,176,371.86/298,081.02
  6. Step 6: Final answer
    x = 233,279.45

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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.