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Finding the Fourth Proportional to 286,594.65, 395,469.14 and 165,717.63

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Solution

The fourth proportional to 286,594.65, 395,469.14 and 165,717.63 is: 228,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,594.65 : 395,469.14 = 165,717.63 : x
  2. Step 2: Convert to fraction form
    286,594.65/395,469.14 = 165,717.63/x
  3. Step 3: Cross multiply
    286,594.65x = 395,469.14 × 165,717.63
  4. Step 4: Simplify right side
    286,594.65x = 65,536,207,790.35
  5. Step 5: Solve for x
    x = 65,536,207,790.35/286,594.65
  6. Step 6: Final answer
    x = 228,672.13

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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.