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Finding the Fourth Proportional to 412,911.38, 569,389.01 and 291,997.46

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Solution

The fourth proportional to 412,911.38, 569,389.01 and 291,997.46 is: 402,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,911.38 : 569,389.01 = 291,997.46 : x
  2. Step 2: Convert to fraction form
    412,911.38/569,389.01 = 291,997.46/x
  3. Step 3: Cross multiply
    412,911.38x = 569,389.01 × 291,997.46
  4. Step 4: Simplify right side
    412,911.38x = 166,260,144,671.92
  5. Step 5: Solve for x
    x = 166,260,144,671.92/412,911.38
  6. Step 6: Final answer
    x = 402,653.34

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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.