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Finding the Fourth Proportional to 413,620.70, 579,856.30 and 413,620.70

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Solution

The fourth proportional to 413,620.70, 579,856.30 and 413,620.70 is: 579,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,620.70 : 579,856.30 = 413,620.70 : x
  2. Step 2: Convert to fraction form
    413,620.70/579,856.30 = 413,620.70/x
  3. Step 3: Cross multiply
    413,620.70x = 579,856.30 × 413,620.70
  4. Step 4: Simplify right side
    413,620.70x = 239,840,568,705.41
  5. Step 5: Solve for x
    x = 239,840,568,705.41/413,620.70
  6. Step 6: Final answer
    x = 579,856.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.