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Finding the Fourth Proportional to 296,167.50, 408,675.94 and 167,098.44

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Solution

The fourth proportional to 296,167.50, 408,675.94 and 167,098.44 is: 230,575.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,167.50 : 408,675.94 = 167,098.44 : x
  2. Step 2: Convert to fraction form
    296,167.50/408,675.94 = 167,098.44/x
  3. Step 3: Cross multiply
    296,167.50x = 408,675.94 × 167,098.44
  4. Step 4: Simplify right side
    296,167.50x = 68,289,112,039.53
  5. Step 5: Solve for x
    x = 68,289,112,039.53/296,167.50
  6. Step 6: Final answer
    x = 230,575.98

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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.