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Finding the Fourth Proportional to 286,833.88, 395,843.52 and 165,980.80

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Solution

The fourth proportional to 286,833.88, 395,843.52 and 165,980.80 is: 229,060.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,833.88 : 395,843.52 = 165,980.80 : x
  2. Step 2: Convert to fraction form
    286,833.88/395,843.52 = 165,980.80/x
  3. Step 3: Cross multiply
    286,833.88x = 395,843.52 × 165,980.80
  4. Step 4: Simplify right side
    286,833.88x = 65,702,424,124.42
  5. Step 5: Solve for x
    x = 65,702,424,124.42/286,833.88
  6. Step 6: Final answer
    x = 229,060.89

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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.