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Finding the Fourth Proportional to 308,971.40, 463,025.10 and 245,899.40

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Solution

The fourth proportional to 308,971.40, 463,025.10 and 245,899.40 is: 368,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,971.40 : 463,025.10 = 245,899.40 : x
  2. Step 2: Convert to fraction form
    308,971.40/463,025.10 = 245,899.40/x
  3. Step 3: Cross multiply
    308,971.40x = 463,025.10 × 245,899.40
  4. Step 4: Simplify right side
    308,971.40x = 113,857,594,274.94
  5. Step 5: Solve for x
    x = 113,857,594,274.94/308,971.40
  6. Step 6: Final answer
    x = 368,505.29

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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.