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Finding the Fourth Proportional to 523,454.76, 722,349.38 and 319,846.52

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Solution

The fourth proportional to 523,454.76, 722,349.38 and 319,846.52 is: 441,377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,454.76 : 722,349.38 = 319,846.52 : x
  2. Step 2: Convert to fraction form
    523,454.76/722,349.38 = 319,846.52/x
  3. Step 3: Cross multiply
    523,454.76x = 722,349.38 × 319,846.52
  4. Step 4: Simplify right side
    523,454.76x = 231,040,935,417.16
  5. Step 5: Solve for x
    x = 231,040,935,417.16/523,454.76
  6. Step 6: Final answer
    x = 441,377.08

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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.