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Finding the Fourth Proportional to 471,627, 706,995.78 and 234,745.74

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Solution

The fourth proportional to 471,627, 706,995.78 and 234,745.74 is: 351,897.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,627 : 706,995.78 = 234,745.74 : x
  2. Step 2: Convert to fraction form
    471,627/706,995.78 = 234,745.74/x
  3. Step 3: Cross multiply
    471,627x = 706,995.78 × 234,745.74
  4. Step 4: Simplify right side
    471,627x = 165,964,247,552.98
  5. Step 5: Solve for x
    x = 165,964,247,552.98/471,627
  6. Step 6: Final answer
    x = 351,897.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.