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Finding the Fourth Proportional to 386,798.44, 533,782.56 and 217,032.16

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Solution

The fourth proportional to 386,798.44, 533,782.56 and 217,032.16 is: 299,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,798.44 : 533,782.56 = 217,032.16 : x
  2. Step 2: Convert to fraction form
    386,798.44/533,782.56 = 217,032.16/x
  3. Step 3: Cross multiply
    386,798.44x = 533,782.56 × 217,032.16
  4. Step 4: Simplify right side
    386,798.44x = 115,847,981,967.13
  5. Step 5: Solve for x
    x = 115,847,981,967.13/386,798.44
  6. Step 6: Final answer
    x = 299,504.78

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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.