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Finding the Fourth Proportional to 417,674.94, 576,391.73 and 226,688.28

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Solution

The fourth proportional to 417,674.94, 576,391.73 and 226,688.28 is: 312,830.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,674.94 : 576,391.73 = 226,688.28 : x
  2. Step 2: Convert to fraction form
    417,674.94/576,391.73 = 226,688.28/x
  3. Step 3: Cross multiply
    417,674.94x = 576,391.73 × 226,688.28
  4. Step 4: Simplify right side
    417,674.94x = 130,661,251,887.62
  5. Step 5: Solve for x
    x = 130,661,251,887.62/417,674.94
  6. Step 6: Final answer
    x = 312,830.00

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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.