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Finding the Fourth Proportional to 560,223.34, 773,168.09 and 342,559.59

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Solution

The fourth proportional to 560,223.34, 773,168.09 and 342,559.59 is: 472,768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,223.34 : 773,168.09 = 342,559.59 : x
  2. Step 2: Convert to fraction form
    560,223.34/773,168.09 = 342,559.59/x
  3. Step 3: Cross multiply
    560,223.34x = 773,168.09 × 342,559.59
  4. Step 4: Simplify right side
    560,223.34x = 264,856,139,299.31
  5. Step 5: Solve for x
    x = 264,856,139,299.31/560,223.34
  6. Step 6: Final answer
    x = 472,768.84

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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.