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Finding the Fourth Proportional to 412,755.82, 569,361.08 and 259,550.98

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Solution

The fourth proportional to 412,755.82, 569,361.08 and 259,550.98 is: 358,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,755.82 : 569,361.08 = 259,550.98 : x
  2. Step 2: Convert to fraction form
    412,755.82/569,361.08 = 259,550.98/x
  3. Step 3: Cross multiply
    412,755.82x = 569,361.08 × 259,550.98
  4. Step 4: Simplify right side
    412,755.82x = 147,778,226,287.86
  5. Step 5: Solve for x
    x = 147,778,226,287.86/412,755.82
  6. Step 6: Final answer
    x = 358,028.21

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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.