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Finding the Fourth Proportional to 523,320.07, 722,294.25 and 319,327.31

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Solution

The fourth proportional to 523,320.07, 722,294.25 and 319,327.31 is: 440,740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,320.07 : 722,294.25 = 319,327.31 : x
  2. Step 2: Convert to fraction form
    523,320.07/722,294.25 = 319,327.31/x
  3. Step 3: Cross multiply
    523,320.07x = 722,294.25 × 319,327.31
  4. Step 4: Simplify right side
    523,320.07x = 230,648,279,880.97
  5. Step 5: Solve for x
    x = 230,648,279,880.97/523,320.07
  6. Step 6: Final answer
    x = 440,740.37

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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.