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Finding the Fourth Proportional to 301,602.51, 416,194.95 and 165,654.27

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Solution

The fourth proportional to 301,602.51, 416,194.95 and 165,654.27 is: 228,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,602.51 : 416,194.95 = 165,654.27 : x
  2. Step 2: Convert to fraction form
    301,602.51/416,194.95 = 165,654.27/x
  3. Step 3: Cross multiply
    301,602.51x = 416,194.95 × 165,654.27
  4. Step 4: Simplify right side
    301,602.51x = 68,944,470,619.94
  5. Step 5: Solve for x
    x = 68,944,470,619.94/301,602.51
  6. Step 6: Final answer
    x = 228,593.82

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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.