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Finding the Fourth Proportional to 647,530.80, 971,296.20 and 505,813.20

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Solution

The fourth proportional to 647,530.80, 971,296.20 and 505,813.20 is: 758,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,530.80 : 971,296.20 = 505,813.20 : x
  2. Step 2: Convert to fraction form
    647,530.80/971,296.20 = 505,813.20/x
  3. Step 3: Cross multiply
    647,530.80x = 971,296.20 × 505,813.20
  4. Step 4: Simplify right side
    647,530.80x = 491,294,439,069.84
  5. Step 5: Solve for x
    x = 491,294,439,069.84/647,530.80
  6. Step 6: Final answer
    x = 758,719.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.