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Finding the Fourth Proportional to 523,716.04, 722,728.70 and 297,361.54

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Solution

The fourth proportional to 523,716.04, 722,728.70 and 297,361.54 is: 410,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,716.04 : 722,728.70 = 297,361.54 : x
  2. Step 2: Convert to fraction form
    523,716.04/722,728.70 = 297,361.54/x
  3. Step 3: Cross multiply
    523,716.04x = 722,728.70 × 297,361.54
  4. Step 4: Simplify right side
    523,716.04x = 214,911,719,234.20
  5. Step 5: Solve for x
    x = 214,911,719,234.20/523,716.04
  6. Step 6: Final answer
    x = 410,359.25

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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.