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Finding the Fourth Proportional to 310,007.52, 463,802.69 and 271,753.11

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Solution

The fourth proportional to 310,007.52, 463,802.69 and 271,753.11 is: 406,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,007.52 : 463,802.69 = 271,753.11 : x
  2. Step 2: Convert to fraction form
    310,007.52/463,802.69 = 271,753.11/x
  3. Step 3: Cross multiply
    310,007.52x = 463,802.69 × 271,753.11
  4. Step 4: Simplify right side
    310,007.52x = 126,039,823,433.87
  5. Step 5: Solve for x
    x = 126,039,823,433.87/310,007.52
  6. Step 6: Final answer
    x = 406,570.21

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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.