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Finding the Fourth Proportional to 308,083.20, 462,124.80 and 189,369.60

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Solution

The fourth proportional to 308,083.20, 462,124.80 and 189,369.60 is: 284,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,083.20 : 462,124.80 = 189,369.60 : x
  2. Step 2: Convert to fraction form
    308,083.20/462,124.80 = 189,369.60/x
  3. Step 3: Cross multiply
    308,083.20x = 462,124.80 × 189,369.60
  4. Step 4: Simplify right side
    308,083.20x = 87,512,388,526.08
  5. Step 5: Solve for x
    x = 87,512,388,526.08/308,083.20
  6. Step 6: Final answer
    x = 284,054.40

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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.