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Finding the Fourth Proportional to 412,906.60, 616,055.09 and 368,000.20

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Solution

The fourth proportional to 412,906.60, 616,055.09 and 368,000.20 is: 549,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,906.60 : 616,055.09 = 368,000.20 : x
  2. Step 2: Convert to fraction form
    412,906.60/616,055.09 = 368,000.20/x
  3. Step 3: Cross multiply
    412,906.60x = 616,055.09 × 368,000.20
  4. Step 4: Simplify right side
    412,906.60x = 226,708,396,331.02
  5. Step 5: Solve for x
    x = 226,708,396,331.02/412,906.60
  6. Step 6: Final answer
    x = 549,054.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.