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Finding the Fourth Proportional to 308,152.40, 461,710.20 and 202,917.20

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Solution

The fourth proportional to 308,152.40, 461,710.20 and 202,917.20 is: 304,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,152.40 : 461,710.20 = 202,917.20 : x
  2. Step 2: Convert to fraction form
    308,152.40/461,710.20 = 202,917.20/x
  3. Step 3: Cross multiply
    308,152.40x = 461,710.20 × 202,917.20
  4. Step 4: Simplify right side
    308,152.40x = 93,688,940,995.44
  5. Step 5: Solve for x
    x = 93,688,940,995.44/308,152.40
  6. Step 6: Final answer
    x = 304,034.44

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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.