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Finding the Fourth Proportional to 308,990.85, 463,486.28 and 224,353.95

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Solution

The fourth proportional to 308,990.85, 463,486.28 and 224,353.95 is: 336,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,990.85 : 463,486.28 = 224,353.95 : x
  2. Step 2: Convert to fraction form
    308,990.85/463,486.28 = 224,353.95/x
  3. Step 3: Cross multiply
    308,990.85x = 463,486.28 × 224,353.95
  4. Step 4: Simplify right side
    308,990.85x = 103,984,976,567.04
  5. Step 5: Solve for x
    x = 103,984,976,567.04/308,990.85
  6. Step 6: Final answer
    x = 336,530.93

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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.