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Finding the Fourth Proportional to 412,792.25, 569,422.64 and 259,773.32

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Solution

The fourth proportional to 412,792.25, 569,422.64 and 259,773.32 is: 358,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,792.25 : 569,422.64 = 259,773.32 : x
  2. Step 2: Convert to fraction form
    412,792.25/569,422.64 = 259,773.32/x
  3. Step 3: Cross multiply
    412,792.25x = 569,422.64 × 259,773.32
  4. Step 4: Simplify right side
    412,792.25x = 147,920,811,748.96
  5. Step 5: Solve for x
    x = 147,920,811,748.96/412,792.25
  6. Step 6: Final answer
    x = 358,342.03

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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.