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Finding the Fourth Proportional to 296,075.50, 444,109.12 and 71,434.05

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Solution

The fourth proportional to 296,075.50, 444,109.12 and 71,434.05 is: 107,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,075.50 : 444,109.12 = 71,434.05 : x
  2. Step 2: Convert to fraction form
    296,075.50/444,109.12 = 71,434.05/x
  3. Step 3: Cross multiply
    296,075.50x = 444,109.12 × 71,434.05
  4. Step 4: Simplify right side
    296,075.50x = 31,724,510,505.82
  5. Step 5: Solve for x
    x = 31,724,510,505.82/296,075.50
  6. Step 6: Final answer
    x = 107,150.07

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