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Finding the Fourth Proportional to 286,493.44, 395,042.24 and 195,864.16

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Solution

The fourth proportional to 286,493.44, 395,042.24 and 195,864.16 is: 270,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,493.44 : 395,042.24 = 195,864.16 : x
  2. Step 2: Convert to fraction form
    286,493.44/395,042.24 = 195,864.16/x
  3. Step 3: Cross multiply
    286,493.44x = 395,042.24 × 195,864.16
  4. Step 4: Simplify right side
    286,493.44x = 77,374,616,502.12
  5. Step 5: Solve for x
    x = 77,374,616,502.12/286,493.44
  6. Step 6: Final answer
    x = 270,074.65

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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.