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Finding the Fourth Proportional to 308,044.80, 462,035.88 and 208,842.48

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Solution

The fourth proportional to 308,044.80, 462,035.88 and 208,842.48 is: 313,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,044.80 : 462,035.88 = 208,842.48 : x
  2. Step 2: Convert to fraction form
    308,044.80/462,035.88 = 208,842.48/x
  3. Step 3: Cross multiply
    308,044.80x = 462,035.88 × 208,842.48
  4. Step 4: Simplify right side
    308,044.80x = 96,492,719,028.18
  5. Step 5: Solve for x
    x = 96,492,719,028.18/308,044.80
  6. Step 6: Final answer
    x = 313,242.49

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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.