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Finding the Fourth Proportional to 477,188.65, 715,258.09 and 196,552.81

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Solution

The fourth proportional to 477,188.65, 715,258.09 and 196,552.81 is: 294,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,188.65 : 715,258.09 = 196,552.81 : x
  2. Step 2: Convert to fraction form
    477,188.65/715,258.09 = 196,552.81/x
  3. Step 3: Cross multiply
    477,188.65x = 715,258.09 × 196,552.81
  4. Step 4: Simplify right side
    477,188.65x = 140,585,987,464.73
  5. Step 5: Solve for x
    x = 140,585,987,464.73/477,188.65
  6. Step 6: Final answer
    x = 294,613.02

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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.