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Finding the Fourth Proportional to 464,081.91, 696,346.83 and 253,714.38

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Solution

The fourth proportional to 464,081.91, 696,346.83 and 253,714.38 is: 380,694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,081.91 : 696,346.83 = 253,714.38 : x
  2. Step 2: Convert to fraction form
    464,081.91/696,346.83 = 253,714.38/x
  3. Step 3: Cross multiply
    464,081.91x = 696,346.83 × 253,714.38
  4. Step 4: Simplify right side
    464,081.91x = 176,673,204,238.42
  5. Step 5: Solve for x
    x = 176,673,204,238.42/464,081.91
  6. Step 6: Final answer
    x = 380,694.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.