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Finding the Fourth Proportional to 410,701.64, 616,110.83 and 126,415.89

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Solution

The fourth proportional to 410,701.64, 616,110.83 and 126,415.89 is: 189,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,701.64 : 616,110.83 = 126,415.89 : x
  2. Step 2: Convert to fraction form
    410,701.64/616,110.83 = 126,415.89/x
  3. Step 3: Cross multiply
    410,701.64x = 616,110.83 × 126,415.89
  4. Step 4: Simplify right side
    410,701.64x = 77,886,199,229.13
  5. Step 5: Solve for x
    x = 77,886,199,229.13/410,701.64
  6. Step 6: Final answer
    x = 189,641.80

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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.