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Finding the Fourth Proportional to 325,446.46, 488,075.44 and 97,732.90

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Solution

The fourth proportional to 325,446.46, 488,075.44 and 97,732.90 is: 146,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,446.46 : 488,075.44 = 97,732.90 : x
  2. Step 2: Convert to fraction form
    325,446.46/488,075.44 = 97,732.90/x
  3. Step 3: Cross multiply
    325,446.46x = 488,075.44 × 97,732.90
  4. Step 4: Simplify right side
    325,446.46x = 47,701,028,169.98
  5. Step 5: Solve for x
    x = 47,701,028,169.98/325,446.46
  6. Step 6: Final answer
    x = 146,571.05

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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.