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Finding the Fourth Proportional to 414,062.24, 621,093.51 and 129,774.86

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Solution

The fourth proportional to 414,062.24, 621,093.51 and 129,774.86 is: 194,662.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,062.24 : 621,093.51 = 129,774.86 : x
  2. Step 2: Convert to fraction form
    414,062.24/621,093.51 = 129,774.86/x
  3. Step 3: Cross multiply
    414,062.24x = 621,093.51 × 129,774.86
  4. Step 4: Simplify right side
    414,062.24x = 80,602,319,552.82
  5. Step 5: Solve for x
    x = 80,602,319,552.82/414,062.24
  6. Step 6: Final answer
    x = 194,662.33

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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.