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Finding the Fourth Proportional to 308,695.02, 462,704.75 and 158,944.30

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Solution

The fourth proportional to 308,695.02, 462,704.75 and 158,944.30 is: 238,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,695.02 : 462,704.75 = 158,944.30 : x
  2. Step 2: Convert to fraction form
    308,695.02/462,704.75 = 158,944.30/x
  3. Step 3: Cross multiply
    308,695.02x = 462,704.75 × 158,944.30
  4. Step 4: Simplify right side
    308,695.02x = 73,544,282,595.43
  5. Step 5: Solve for x
    x = 73,544,282,595.43/308,695.02
  6. Step 6: Final answer
    x = 238,242.53

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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.