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Finding the Fourth Proportional to 386,963.94, 533,980.92 and 217,165.26

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Solution

The fourth proportional to 386,963.94, 533,980.92 and 217,165.26 is: 299,671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,963.94 : 533,980.92 = 217,165.26 : x
  2. Step 2: Convert to fraction form
    386,963.94/533,980.92 = 217,165.26/x
  3. Step 3: Cross multiply
    386,963.94x = 533,980.92 × 217,165.26
  4. Step 4: Simplify right side
    386,963.94x = 115,962,105,326.84
  5. Step 5: Solve for x
    x = 115,962,105,326.84/386,963.94
  6. Step 6: Final answer
    x = 299,671.61

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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.