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Finding the Fourth Proportional to 477,072.86, 715,332.50 and 192,530.49

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Solution

The fourth proportional to 477,072.86, 715,332.50 and 192,530.49 is: 288,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,072.86 : 715,332.50 = 192,530.49 : x
  2. Step 2: Convert to fraction form
    477,072.86/715,332.50 = 192,530.49/x
  3. Step 3: Cross multiply
    477,072.86x = 715,332.50 × 192,530.49
  4. Step 4: Simplify right side
    477,072.86x = 137,723,320,662.62
  5. Step 5: Solve for x
    x = 137,723,320,662.62/477,072.86
  6. Step 6: Final answer
    x = 288,684.04

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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.