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Finding the Fourth Proportional to 579,586.38, 799,557.04 and 409,914.06

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Solution

The fourth proportional to 579,586.38, 799,557.04 and 409,914.06 is: 565,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,586.38 : 799,557.04 = 409,914.06 : x
  2. Step 2: Convert to fraction form
    579,586.38/799,557.04 = 409,914.06/x
  3. Step 3: Cross multiply
    579,586.38x = 799,557.04 × 409,914.06
  4. Step 4: Simplify right side
    579,586.38x = 327,749,672,467.98
  5. Step 5: Solve for x
    x = 327,749,672,467.98/579,586.38
  6. Step 6: Final answer
    x = 565,488.91

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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.