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Finding the Fourth Proportional to 301,461.92, 416,022.68 and 165,508.52

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Solution

The fourth proportional to 301,461.92, 416,022.68 and 165,508.52 is: 228,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,461.92 : 416,022.68 = 165,508.52 : x
  2. Step 2: Convert to fraction form
    301,461.92/416,022.68 = 165,508.52/x
  3. Step 3: Cross multiply
    301,461.92x = 416,022.68 × 165,508.52
  4. Step 4: Simplify right side
    301,461.92x = 68,855,298,053.23
  5. Step 5: Solve for x
    x = 68,855,298,053.23/301,461.92
  6. Step 6: Final answer
    x = 228,404.63

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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.