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Finding the Fourth Proportional to 475,997.37, 714,182.76 and 209,571

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Solution

The fourth proportional to 475,997.37, 714,182.76 and 209,571 is: 314,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,997.37 : 714,182.76 = 209,571 : x
  2. Step 2: Convert to fraction form
    475,997.37/714,182.76 = 209,571/x
  3. Step 3: Cross multiply
    475,997.37x = 714,182.76 × 209,571
  4. Step 4: Simplify right side
    475,997.37x = 149,671,995,195.96
  5. Step 5: Solve for x
    x = 149,671,995,195.96/475,997.37
  6. Step 6: Final answer
    x = 314,438.70

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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.