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Finding the Fourth Proportional to 308,114.40, 462,301.20 and 167,973.60

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Solution

The fourth proportional to 308,114.40, 462,301.20 and 167,973.60 is: 252,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,114.40 : 462,301.20 = 167,973.60 : x
  2. Step 2: Convert to fraction form
    308,114.40/462,301.20 = 167,973.60/x
  3. Step 3: Cross multiply
    308,114.40x = 462,301.20 × 167,973.60
  4. Step 4: Simplify right side
    308,114.40x = 77,654,396,848.32
  5. Step 5: Solve for x
    x = 77,654,396,848.32/308,114.40
  6. Step 6: Final answer
    x = 252,031.05

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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.