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Finding the Fourth Proportional to 308,523.15, 462,830.90 and 98,208.27

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Solution

The fourth proportional to 308,523.15, 462,830.90 and 98,208.27 is: 147,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,523.15 : 462,830.90 = 98,208.27 : x
  2. Step 2: Convert to fraction form
    308,523.15/462,830.90 = 98,208.27/x
  3. Step 3: Cross multiply
    308,523.15x = 462,830.90 × 98,208.27
  4. Step 4: Simplify right side
    308,523.15x = 45,453,821,500.50
  5. Step 5: Solve for x
    x = 45,453,821,500.50/308,523.15
  6. Step 6: Final answer
    x = 147,327.10

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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.