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Finding the Fourth Proportional to 592,564.75, 889,019.26 and 213,478.27

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Solution

The fourth proportional to 592,564.75, 889,019.26 and 213,478.27 is: 320,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,564.75 : 889,019.26 = 213,478.27 : x
  2. Step 2: Convert to fraction form
    592,564.75/889,019.26 = 213,478.27/x
  3. Step 3: Cross multiply
    592,564.75x = 889,019.26 × 213,478.27
  4. Step 4: Simplify right side
    592,564.75x = 189,786,289,176.38
  5. Step 5: Solve for x
    x = 189,786,289,176.38/592,564.75
  6. Step 6: Final answer
    x = 320,279.41

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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.