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Finding the Fourth Proportional to 408,851.14, 613,307.85 and 124,565.96

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Solution

The fourth proportional to 408,851.14, 613,307.85 and 124,565.96 is: 186,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,851.14 : 613,307.85 = 124,565.96 : x
  2. Step 2: Convert to fraction form
    408,851.14/613,307.85 = 124,565.96/x
  3. Step 3: Cross multiply
    408,851.14x = 613,307.85 × 124,565.96
  4. Step 4: Simplify right side
    408,851.14x = 76,397,277,421.42
  5. Step 5: Solve for x
    x = 76,397,277,421.42/408,851.14
  6. Step 6: Final answer
    x = 186,858.42

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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.