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Finding the Fourth Proportional to 565,920.64, 849,121.03 and 266,394.60

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Solution

The fourth proportional to 565,920.64, 849,121.03 and 266,394.60 is: 399,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,920.64 : 849,121.03 = 266,394.60 : x
  2. Step 2: Convert to fraction form
    565,920.64/849,121.03 = 266,394.60/x
  3. Step 3: Cross multiply
    565,920.64x = 849,121.03 × 266,394.60
  4. Step 4: Simplify right side
    565,920.64x = 226,201,257,138.44
  5. Step 5: Solve for x
    x = 226,201,257,138.44/565,920.64
  6. Step 6: Final answer
    x = 399,704.91

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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.