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Finding the Fourth Proportional to 308,592.40, 463,085.16 and 206,240.80

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Solution

The fourth proportional to 308,592.40, 463,085.16 and 206,240.80 is: 309,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,592.40 : 463,085.16 = 206,240.80 : x
  2. Step 2: Convert to fraction form
    308,592.40/463,085.16 = 206,240.80/x
  3. Step 3: Cross multiply
    308,592.40x = 463,085.16 × 206,240.80
  4. Step 4: Simplify right side
    308,592.40x = 95,507,053,866.53
  5. Step 5: Solve for x
    x = 95,507,053,866.53/308,592.40
  6. Step 6: Final answer
    x = 309,492.57

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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.