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Finding the Fourth Proportional to 400,712.27, 601,053.82 and 120,222.23

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Solution

The fourth proportional to 400,712.27, 601,053.82 and 120,222.23 is: 180,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,712.27 : 601,053.82 = 120,222.23 : x
  2. Step 2: Convert to fraction form
    400,712.27/601,053.82 = 120,222.23/x
  3. Step 3: Cross multiply
    400,712.27x = 601,053.82 × 120,222.23
  4. Step 4: Simplify right side
    400,712.27x = 72,260,027,284.59
  5. Step 5: Solve for x
    x = 72,260,027,284.59/400,712.27
  6. Step 6: Final answer
    x = 180,328.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.