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Finding the Fourth Proportional to 565,891.40, 780,668.34 and 339,143.24

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Solution

The fourth proportional to 565,891.40, 780,668.34 and 339,143.24 is: 467,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,891.40 : 780,668.34 = 339,143.24 : x
  2. Step 2: Convert to fraction form
    565,891.40/780,668.34 = 339,143.24/x
  3. Step 3: Cross multiply
    565,891.40x = 780,668.34 × 339,143.24
  4. Step 4: Simplify right side
    565,891.40x = 264,758,390,193.02
  5. Step 5: Solve for x
    x = 264,758,390,193.02/565,891.40
  6. Step 6: Final answer
    x = 467,860.78

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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.