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Finding the Fourth Proportional to 523,562.68, 722,496.72 and 319,954.06

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Solution

The fourth proportional to 523,562.68, 722,496.72 and 319,954.06 is: 441,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,562.68 : 722,496.72 = 319,954.06 : x
  2. Step 2: Convert to fraction form
    523,562.68/722,496.72 = 319,954.06/x
  3. Step 3: Cross multiply
    523,562.68x = 722,496.72 × 319,954.06
  4. Step 4: Simplify right side
    523,562.68x = 231,165,758,900.68
  5. Step 5: Solve for x
    x = 231,165,758,900.68/523,562.68
  6. Step 6: Final answer
    x = 441,524.52

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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.