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Finding the Fourth Proportional to 336,000.38, 463,680.58 and 185,097.38

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Solution

The fourth proportional to 336,000.38, 463,680.58 and 185,097.38 is: 255,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,000.38 : 463,680.58 = 185,097.38 : x
  2. Step 2: Convert to fraction form
    336,000.38/463,680.58 = 185,097.38/x
  3. Step 3: Cross multiply
    336,000.38x = 463,680.58 × 185,097.38
  4. Step 4: Simplify right side
    336,000.38x = 85,826,060,514.88
  5. Step 5: Solve for x
    x = 85,826,060,514.88/336,000.38
  6. Step 6: Final answer
    x = 255,434.42

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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.