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Finding the Fourth Proportional to 413,611.45, 579,843.35 and 413,611.45

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Solution

The fourth proportional to 413,611.45, 579,843.35 and 413,611.45 is: 579,843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,611.45 : 579,843.35 = 413,611.45 : x
  2. Step 2: Convert to fraction form
    413,611.45/579,843.35 = 413,611.45/x
  3. Step 3: Cross multiply
    413,611.45x = 579,843.35 × 413,611.45
  4. Step 4: Simplify right side
    413,611.45x = 239,829,848,766.36
  5. Step 5: Solve for x
    x = 239,829,848,766.36/413,611.45
  6. Step 6: Final answer
    x = 579,843.35

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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.