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Finding the Fourth Proportional to 308,001.60, 461,656.80 and 174,945.60

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Solution

The fourth proportional to 308,001.60, 461,656.80 and 174,945.60 is: 262,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,001.60 : 461,656.80 = 174,945.60 : x
  2. Step 2: Convert to fraction form
    308,001.60/461,656.80 = 174,945.60/x
  3. Step 3: Cross multiply
    308,001.60x = 461,656.80 × 174,945.60
  4. Step 4: Simplify right side
    308,001.60x = 80,764,825,870.08
  5. Step 5: Solve for x
    x = 80,764,825,870.08/308,001.60
  6. Step 6: Final answer
    x = 262,222.10

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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.