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Finding the Fourth Proportional to 301,615.04, 416,212.26 and 165,666.80

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Solution

The fourth proportional to 301,615.04, 416,212.26 and 165,666.80 is: 228,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,615.04 : 416,212.26 = 165,666.80 : x
  2. Step 2: Convert to fraction form
    301,615.04/416,212.26 = 165,666.80/x
  3. Step 3: Cross multiply
    301,615.04x = 416,212.26 × 165,666.80
  4. Step 4: Simplify right side
    301,615.04x = 68,952,553,234.97
  5. Step 5: Solve for x
    x = 68,952,553,234.97/301,615.04
  6. Step 6: Final answer
    x = 228,611.12

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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.