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Finding the Fourth Proportional to 558,860.26, 769,758.03 and 429,551.46

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Solution

The fourth proportional to 558,860.26, 769,758.03 and 429,551.46 is: 591,651.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,860.26 : 769,758.03 = 429,551.46 : x
  2. Step 2: Convert to fraction form
    558,860.26/769,758.03 = 429,551.46/x
  3. Step 3: Cross multiply
    558,860.26x = 769,758.03 × 429,551.46
  4. Step 4: Simplify right side
    558,860.26x = 330,650,685,633.22
  5. Step 5: Solve for x
    x = 330,650,685,633.22/558,860.26
  6. Step 6: Final answer
    x = 591,651.81

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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.