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Finding the Fourth Proportional to 307,772.80, 462,004.80 and 167,459.20

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Solution

The fourth proportional to 307,772.80, 462,004.80 and 167,459.20 is: 251,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,772.80 : 462,004.80 = 167,459.20 : x
  2. Step 2: Convert to fraction form
    307,772.80/462,004.80 = 167,459.20/x
  3. Step 3: Cross multiply
    307,772.80x = 462,004.80 × 167,459.20
  4. Step 4: Simplify right side
    307,772.80x = 77,366,954,204.16
  5. Step 5: Solve for x
    x = 77,366,954,204.16/307,772.80
  6. Step 6: Final answer
    x = 251,376.84

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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.