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Finding the Fourth Proportional to 464,053.72, 640,394.10 and 262,849.72

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Solution

The fourth proportional to 464,053.72, 640,394.10 and 262,849.72 is: 362,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,053.72 : 640,394.10 = 262,849.72 : x
  2. Step 2: Convert to fraction form
    464,053.72/640,394.10 = 262,849.72/x
  3. Step 3: Cross multiply
    464,053.72x = 640,394.10 × 262,849.72
  4. Step 4: Simplify right side
    464,053.72x = 168,327,409,874.65
  5. Step 5: Solve for x
    x = 168,327,409,874.65/464,053.72
  6. Step 6: Final answer
    x = 362,732.59

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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.