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Finding the Fourth Proportional to 291,375.22, 437,125.35 and 165,075.97

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Solution

The fourth proportional to 291,375.22, 437,125.35 and 165,075.97 is: 247,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,375.22 : 437,125.35 = 165,075.97 : x
  2. Step 2: Convert to fraction form
    291,375.22/437,125.35 = 165,075.97/x
  3. Step 3: Cross multiply
    291,375.22x = 437,125.35 × 165,075.97
  4. Step 4: Simplify right side
    291,375.22x = 72,158,888,977.21
  5. Step 5: Solve for x
    x = 72,158,888,977.21/291,375.22
  6. Step 6: Final answer
    x = 247,649.37

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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.