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Finding the Fourth Proportional to 471,264.48, 650,388.32 and 267,381.80

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Solution

The fourth proportional to 471,264.48, 650,388.32 and 267,381.80 is: 369,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,264.48 : 650,388.32 = 267,381.80 : x
  2. Step 2: Convert to fraction form
    471,264.48/650,388.32 = 267,381.80/x
  3. Step 3: Cross multiply
    471,264.48x = 650,388.32 × 267,381.80
  4. Step 4: Simplify right side
    471,264.48x = 173,901,999,700.58
  5. Step 5: Solve for x
    x = 173,901,999,700.58/471,264.48
  6. Step 6: Final answer
    x = 369,011.47

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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.