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Finding the Fourth Proportional to 523,825.12, 722,883.72 and 297,472.24

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Solution

The fourth proportional to 523,825.12, 722,883.72 and 297,472.24 is: 410,514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,825.12 : 722,883.72 = 297,472.24 : x
  2. Step 2: Convert to fraction form
    523,825.12/722,883.72 = 297,472.24/x
  3. Step 3: Cross multiply
    523,825.12x = 722,883.72 × 297,472.24
  4. Step 4: Simplify right side
    523,825.12x = 215,037,839,447.93
  5. Step 5: Solve for x
    x = 215,037,839,447.93/523,825.12
  6. Step 6: Final answer
    x = 410,514.56

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1.5x scale

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.