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Finding the Fourth Proportional to 308,770.56, 463,155.12 and 202,823.28

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Solution

The fourth proportional to 308,770.56, 463,155.12 and 202,823.28 is: 304,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,770.56 : 463,155.12 = 202,823.28 : x
  2. Step 2: Convert to fraction form
    308,770.56/463,155.12 = 202,823.28/x
  3. Step 3: Cross multiply
    308,770.56x = 463,155.12 × 202,823.28
  4. Step 4: Simplify right side
    308,770.56x = 93,938,640,587.19
  5. Step 5: Solve for x
    x = 93,938,640,587.19/308,770.56
  6. Step 6: Final answer
    x = 304,234.45

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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.