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Finding the Fourth Proportional to 298,034.32, 411,279.16 and 163,898.32

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Solution

The fourth proportional to 298,034.32, 411,279.16 and 163,898.32 is: 226,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,034.32 : 411,279.16 = 163,898.32 : x
  2. Step 2: Convert to fraction form
    298,034.32/411,279.16 = 163,898.32/x
  3. Step 3: Cross multiply
    298,034.32x = 411,279.16 × 163,898.32
  4. Step 4: Simplify right side
    298,034.32x = 67,407,963,375.01
  5. Step 5: Solve for x
    x = 67,407,963,375.01/298,034.32
  6. Step 6: Final answer
    x = 226,175.17

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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.