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Finding the Fourth Proportional to 306,075.19, 459,190.60 and 179,822.11

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Solution

The fourth proportional to 306,075.19, 459,190.60 and 179,822.11 is: 269,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,075.19 : 459,190.60 = 179,822.11 : x
  2. Step 2: Convert to fraction form
    306,075.19/459,190.60 = 179,822.11/x
  3. Step 3: Cross multiply
    306,075.19x = 459,190.60 × 179,822.11
  4. Step 4: Simplify right side
    306,075.19x = 82,572,622,584.17
  5. Step 5: Solve for x
    x = 82,572,622,584.17/306,075.19
  6. Step 6: Final answer
    x = 269,778.88

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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.