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Finding the Fourth Proportional to 286,833.92, 395,784.24 and 159,506.24

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Solution

The fourth proportional to 286,833.92, 395,784.24 and 159,506.24 is: 220,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,833.92 : 395,784.24 = 159,506.24 : x
  2. Step 2: Convert to fraction form
    286,833.92/395,784.24 = 159,506.24/x
  3. Step 3: Cross multiply
    286,833.92x = 395,784.24 × 159,506.24
  4. Step 4: Simplify right side
    286,833.92x = 63,130,055,973.66
  5. Step 5: Solve for x
    x = 63,130,055,973.66/286,833.92
  6. Step 6: Final answer
    x = 220,092.71

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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.