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Finding the Fourth Proportional to 411,019.86, 616,106.88 and 197,467.14

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Solution

The fourth proportional to 411,019.86, 616,106.88 and 197,467.14 is: 295,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,019.86 : 616,106.88 = 197,467.14 : x
  2. Step 2: Convert to fraction form
    411,019.86/616,106.88 = 197,467.14/x
  3. Step 3: Cross multiply
    411,019.86x = 616,106.88 × 197,467.14
  4. Step 4: Simplify right side
    411,019.86x = 121,660,863,527.92
  5. Step 5: Solve for x
    x = 121,660,863,527.92/411,019.86
  6. Step 6: Final answer
    x = 295,997.53

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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.