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Finding the Fourth Proportional to 286,085.88, 394,758.21 and 171,337.64

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Solution

The fourth proportional to 286,085.88, 394,758.21 and 171,337.64 is: 236,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,085.88 : 394,758.21 = 171,337.64 : x
  2. Step 2: Convert to fraction form
    286,085.88/394,758.21 = 171,337.64/x
  3. Step 3: Cross multiply
    286,085.88x = 394,758.21 × 171,337.64
  4. Step 4: Simplify right side
    286,085.88x = 67,636,938,098.23
  5. Step 5: Solve for x
    x = 67,636,938,098.23/286,085.88
  6. Step 6: Final answer
    x = 236,421.80

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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.