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Finding the Fourth Proportional to 308,118.40, 462,307.20 and 167,977.60

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Solution

The fourth proportional to 308,118.40, 462,307.20 and 167,977.60 is: 252,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,118.40 : 462,307.20 = 167,977.60 : x
  2. Step 2: Convert to fraction form
    308,118.40/462,307.20 = 167,977.60/x
  3. Step 3: Cross multiply
    308,118.40x = 462,307.20 × 167,977.60
  4. Step 4: Simplify right side
    308,118.40x = 77,657,253,918.72
  5. Step 5: Solve for x
    x = 77,657,253,918.72/308,118.40
  6. Step 6: Final answer
    x = 252,037.05

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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.