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Finding the Fourth Proportional to 427,729.84, 590,414.74 and 246,514.16

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Solution

The fourth proportional to 427,729.84, 590,414.74 and 246,514.16 is: 340,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,729.84 : 590,414.74 = 246,514.16 : x
  2. Step 2: Convert to fraction form
    427,729.84/590,414.74 = 246,514.16/x
  3. Step 3: Cross multiply
    427,729.84x = 590,414.74 × 246,514.16
  4. Step 4: Simplify right side
    427,729.84x = 145,545,593,682.72
  5. Step 5: Solve for x
    x = 145,545,593,682.72/427,729.84
  6. Step 6: Final answer
    x = 340,274.58

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1.5x scale

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.