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Finding the Fourth Proportional to 523,167.70, 722,190.78 and 353,631.46

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Solution

The fourth proportional to 523,167.70, 722,190.78 and 353,631.46 is: 488,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,167.70 : 722,190.78 = 353,631.46 : x
  2. Step 2: Convert to fraction form
    523,167.70/722,190.78 = 353,631.46/x
  3. Step 3: Cross multiply
    523,167.70x = 722,190.78 × 353,631.46
  4. Step 4: Simplify right side
    523,167.70x = 255,389,379,929.94
  5. Step 5: Solve for x
    x = 255,389,379,929.94/523,167.70
  6. Step 6: Final answer
    x = 488,159.69

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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.