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Finding the Fourth Proportional to 419,156.46, 577,334.04 and 322,174.86

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Solution

The fourth proportional to 419,156.46, 577,334.04 and 322,174.86 is: 443,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,156.46 : 577,334.04 = 322,174.86 : x
  2. Step 2: Convert to fraction form
    419,156.46/577,334.04 = 322,174.86/x
  3. Step 3: Cross multiply
    419,156.46x = 577,334.04 × 322,174.86
  4. Step 4: Simplify right side
    419,156.46x = 186,002,513,510.23
  5. Step 5: Solve for x
    x = 186,002,513,510.23/419,156.46
  6. Step 6: Final answer
    x = 443,754.38

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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.