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Finding the Fourth Proportional to 417,901.09, 576,705.69 and 226,914.43

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Solution

The fourth proportional to 417,901.09, 576,705.69 and 226,914.43 is: 313,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,901.09 : 576,705.69 = 226,914.43 : x
  2. Step 2: Convert to fraction form
    417,901.09/576,705.69 = 226,914.43/x
  3. Step 3: Cross multiply
    417,901.09x = 576,705.69 × 226,914.43
  4. Step 4: Simplify right side
    417,901.09x = 130,862,842,924.11
  5. Step 5: Solve for x
    x = 130,862,842,924.11/417,901.09
  6. Step 6: Final answer
    x = 313,143.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.