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Finding the Fourth Proportional to 308,079.04, 462,086.64 and 208,876.48

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Solution

The fourth proportional to 308,079.04, 462,086.64 and 208,876.48 is: 313,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,079.04 : 462,086.64 = 208,876.48 : x
  2. Step 2: Convert to fraction form
    308,079.04/462,086.64 = 208,876.48/x
  3. Step 3: Cross multiply
    308,079.04x = 462,086.64 × 208,876.48
  4. Step 4: Simplify right side
    308,079.04x = 96,519,030,818.23
  5. Step 5: Solve for x
    x = 96,519,030,818.23/308,079.04
  6. Step 6: Final answer
    x = 313,293.08

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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.