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Finding the Fourth Proportional to 412,906.10, 616,054.35 and 367,999.70

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Solution

The fourth proportional to 412,906.10, 616,054.35 and 367,999.70 is: 549,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,906.10 : 616,054.35 = 367,999.70 : x
  2. Step 2: Convert to fraction form
    412,906.10/616,054.35 = 367,999.70/x
  3. Step 3: Cross multiply
    412,906.10x = 616,054.35 × 367,999.70
  4. Step 4: Simplify right side
    412,906.10x = 226,707,814,143.70
  5. Step 5: Solve for x
    x = 226,707,814,143.70/412,906.10
  6. Step 6: Final answer
    x = 549,054.17

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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.