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Finding the Fourth Proportional to 477,214.86, 658,517.34 and 280,950.12

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Solution

The fourth proportional to 477,214.86, 658,517.34 and 280,950.12 is: 387,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,214.86 : 658,517.34 = 280,950.12 : x
  2. Step 2: Convert to fraction form
    477,214.86/658,517.34 = 280,950.12/x
  3. Step 3: Cross multiply
    477,214.86x = 658,517.34 × 280,950.12
  4. Step 4: Simplify right side
    477,214.86x = 185,010,525,695.08
  5. Step 5: Solve for x
    x = 185,010,525,695.08/477,214.86
  6. Step 6: Final answer
    x = 387,688.11

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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.