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Finding the Fourth Proportional to 301,696.08, 416,343.24 and 165,732.80

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Solution

The fourth proportional to 301,696.08, 416,343.24 and 165,732.80 is: 228,712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,696.08 : 416,343.24 = 165,732.80 : x
  2. Step 2: Convert to fraction form
    301,696.08/416,343.24 = 165,732.80/x
  3. Step 3: Cross multiply
    301,696.08x = 416,343.24 × 165,732.80
  4. Step 4: Simplify right side
    301,696.08x = 69,001,730,926.27
  5. Step 5: Solve for x
    x = 69,001,730,926.27/301,696.08
  6. Step 6: Final answer
    x = 228,712.72

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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.