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Finding the Fourth Proportional to 477,604.45, 658,721.01 and 296,214.67

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Solution

The fourth proportional to 477,604.45, 658,721.01 and 296,214.67 is: 408,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,604.45 : 658,721.01 = 296,214.67 : x
  2. Step 2: Convert to fraction form
    477,604.45/658,721.01 = 296,214.67/x
  3. Step 3: Cross multiply
    477,604.45x = 658,721.01 × 296,214.67
  4. Step 4: Simplify right side
    477,604.45x = 195,122,824,952.41
  5. Step 5: Solve for x
    x = 195,122,824,952.41/477,604.45
  6. Step 6: Final answer
    x = 408,544.82

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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.