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Finding the Fourth Proportional to 650,249.94, 897,284.07 and 405,211.98

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Solution

The fourth proportional to 650,249.94, 897,284.07 and 405,211.98 is: 559,154.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,249.94 : 897,284.07 = 405,211.98 : x
  2. Step 2: Convert to fraction form
    650,249.94/897,284.07 = 405,211.98/x
  3. Step 3: Cross multiply
    650,249.94x = 897,284.07 × 405,211.98
  4. Step 4: Simplify right side
    650,249.94x = 363,590,254,627.16
  5. Step 5: Solve for x
    x = 363,590,254,627.16/650,249.94
  6. Step 6: Final answer
    x = 559,154.61

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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.