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Finding the Fourth Proportional to 308,119.40, 462,308.70 and 167,978.60

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Solution

The fourth proportional to 308,119.40, 462,308.70 and 167,978.60 is: 252,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,119.40 : 462,308.70 = 167,978.60 : x
  2. Step 2: Convert to fraction form
    308,119.40/462,308.70 = 167,978.60/x
  3. Step 3: Cross multiply
    308,119.40x = 462,308.70 × 167,978.60
  4. Step 4: Simplify right side
    308,119.40x = 77,657,968,193.82
  5. Step 5: Solve for x
    x = 77,657,968,193.82/308,119.40
  6. Step 6: Final answer
    x = 252,038.55

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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.