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Finding the Fourth Proportional to 464,576.91, 696,394.89 and 314,832.48

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Solution

The fourth proportional to 464,576.91, 696,394.89 and 314,832.48 is: 471,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,576.91 : 696,394.89 = 314,832.48 : x
  2. Step 2: Convert to fraction form
    464,576.91/696,394.89 = 314,832.48/x
  3. Step 3: Cross multiply
    464,576.91x = 696,394.89 × 314,832.48
  4. Step 4: Simplify right side
    464,576.91x = 219,247,730,278.03
  5. Step 5: Solve for x
    x = 219,247,730,278.03/464,576.91
  6. Step 6: Final answer
    x = 471,929.89

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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.