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Finding the Fourth Proportional to 460,234.54, 635,123.33 and 269,284.74

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Solution

The fourth proportional to 460,234.54, 635,123.33 and 269,284.74 is: 371,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,234.54 : 635,123.33 = 269,284.74 : x
  2. Step 2: Convert to fraction form
    460,234.54/635,123.33 = 269,284.74/x
  3. Step 3: Cross multiply
    460,234.54x = 635,123.33 × 269,284.74
  4. Step 4: Simplify right side
    460,234.54x = 171,029,020,786.98
  5. Step 5: Solve for x
    x = 171,029,020,786.98/460,234.54
  6. Step 6: Final answer
    x = 371,612.75

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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.