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Finding the Fourth Proportional to 523,532.96, 722,456.25 and 319,924.67

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Solution

The fourth proportional to 523,532.96, 722,456.25 and 319,924.67 is: 441,484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,532.96 : 722,456.25 = 319,924.67 : x
  2. Step 2: Convert to fraction form
    523,532.96/722,456.25 = 319,924.67/x
  3. Step 3: Cross multiply
    523,532.96x = 722,456.25 × 319,924.67
  4. Step 4: Simplify right side
    523,532.96x = 231,131,573,758.41
  5. Step 5: Solve for x
    x = 231,131,573,758.41/523,532.96
  6. Step 6: Final answer
    x = 441,484.29

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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.