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Finding the Fourth Proportional to 523,817.12, 722,872.68 and 297,464.24

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Solution

The fourth proportional to 523,817.12, 722,872.68 and 297,464.24 is: 410,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,817.12 : 722,872.68 = 297,464.24 : x
  2. Step 2: Convert to fraction form
    523,817.12/722,872.68 = 297,464.24/x
  3. Step 3: Cross multiply
    523,817.12x = 722,872.68 × 297,464.24
  4. Step 4: Simplify right side
    523,817.12x = 215,028,772,372.96
  5. Step 5: Solve for x
    x = 215,028,772,372.96/523,817.12
  6. Step 6: Final answer
    x = 410,503.52

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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.