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Finding the Fourth Proportional to 522,825.07, 721,496.55 and 293,381.82

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Solution

The fourth proportional to 522,825.07, 721,496.55 and 293,381.82 is: 404,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,825.07 : 721,496.55 = 293,381.82 : x
  2. Step 2: Convert to fraction form
    522,825.07/721,496.55 = 293,381.82/x
  3. Step 3: Cross multiply
    522,825.07x = 721,496.55 × 293,381.82
  4. Step 4: Simplify right side
    522,825.07x = 211,673,967,355.24
  5. Step 5: Solve for x
    x = 211,673,967,355.24/522,825.07
  6. Step 6: Final answer
    x = 404,865.76

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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.