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Finding the Fourth Proportional to 523,826.62, 722,885.79 and 297,473.74

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Solution

The fourth proportional to 523,826.62, 722,885.79 and 297,473.74 is: 410,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,826.62 : 722,885.79 = 297,473.74 : x
  2. Step 2: Convert to fraction form
    523,826.62/722,885.79 = 297,473.74/x
  3. Step 3: Cross multiply
    523,826.62x = 722,885.79 × 297,473.74
  4. Step 4: Simplify right side
    523,826.62x = 215,039,539,544.16
  5. Step 5: Solve for x
    x = 215,039,539,544.16/523,826.62
  6. Step 6: Final answer
    x = 410,516.63

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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.