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Finding the Fourth Proportional to 357,910.70, 493,919.98 and 194,567.52

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Solution

The fourth proportional to 357,910.70, 493,919.98 and 194,567.52 is: 268,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,910.70 : 493,919.98 = 194,567.52 : x
  2. Step 2: Convert to fraction form
    357,910.70/493,919.98 = 194,567.52/x
  3. Step 3: Cross multiply
    357,910.70x = 493,919.98 × 194,567.52
  4. Step 4: Simplify right side
    357,910.70x = 96,100,785,587.05
  5. Step 5: Solve for x
    x = 96,100,785,587.05/357,910.70
  6. Step 6: Final answer
    x = 268,504.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.