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Finding the Fourth Proportional to 523,771.88, 722,751.34 and 294,292.71

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Solution

The fourth proportional to 523,771.88, 722,751.34 and 294,292.71 is: 406,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,771.88 : 722,751.34 = 294,292.71 : x
  2. Step 2: Convert to fraction form
    523,771.88/722,751.34 = 294,292.71/x
  3. Step 3: Cross multiply
    523,771.88x = 722,751.34 × 294,292.71
  4. Step 4: Simplify right side
    523,771.88x = 212,700,446,890.98
  5. Step 5: Solve for x
    x = 212,700,446,890.98/523,771.88
  6. Step 6: Final answer
    x = 406,093.67

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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.