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Finding the Fourth Proportional to 446,170.72, 615,717.84 and 255,192.16

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Solution

The fourth proportional to 446,170.72, 615,717.84 and 255,192.16 is: 352,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,170.72 : 615,717.84 = 255,192.16 : x
  2. Step 2: Convert to fraction form
    446,170.72/615,717.84 = 255,192.16/x
  3. Step 3: Cross multiply
    446,170.72x = 615,717.84 × 255,192.16
  4. Step 4: Simplify right side
    446,170.72x = 157,126,365,540.13
  5. Step 5: Solve for x
    x = 157,126,365,540.13/446,170.72
  6. Step 6: Final answer
    x = 352,166.47

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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.