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Finding the Fourth Proportional to 552,658.50, 762,668.73 and 314,194.50

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Solution

The fourth proportional to 552,658.50, 762,668.73 and 314,194.50 is: 433,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,658.50 : 762,668.73 = 314,194.50 : x
  2. Step 2: Convert to fraction form
    552,658.50/762,668.73 = 314,194.50/x
  3. Step 3: Cross multiply
    552,658.50x = 762,668.73 × 314,194.50
  4. Step 4: Simplify right side
    552,658.50x = 239,626,320,287.99
  5. Step 5: Solve for x
    x = 239,626,320,287.99/552,658.50
  6. Step 6: Final answer
    x = 433,588.41

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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.