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Finding the Fourth Proportional to 413,626.70, 577,896.40 and 413,626.70

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Solution

The fourth proportional to 413,626.70, 577,896.40 and 413,626.70 is: 577,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,626.70 : 577,896.40 = 413,626.70 : x
  2. Step 2: Convert to fraction form
    413,626.70/577,896.40 = 413,626.70/x
  3. Step 3: Cross multiply
    413,626.70x = 577,896.40 × 413,626.70
  4. Step 4: Simplify right side
    413,626.70x = 239,033,380,873.88
  5. Step 5: Solve for x
    x = 239,033,380,873.88/413,626.70
  6. Step 6: Final answer
    x = 577,896.40

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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.