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Finding the Fourth Proportional to 464,506.74, 641,018.85 and 263,302.74

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Solution

The fourth proportional to 464,506.74, 641,018.85 and 263,302.74 is: 363,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,506.74 : 641,018.85 = 263,302.74 : x
  2. Step 2: Convert to fraction form
    464,506.74/641,018.85 = 263,302.74/x
  3. Step 3: Cross multiply
    464,506.74x = 641,018.85 × 263,302.74
  4. Step 4: Simplify right side
    464,506.74x = 168,782,019,596.65
  5. Step 5: Solve for x
    x = 168,782,019,596.65/464,506.74
  6. Step 6: Final answer
    x = 363,357.53

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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.