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Finding the Fourth Proportional to 302,671.94, 417,716.77 and 226,058.02

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Solution

The fourth proportional to 302,671.94, 417,716.77 and 226,058.02 is: 311,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,671.94 : 417,716.77 = 226,058.02 : x
  2. Step 2: Convert to fraction form
    302,671.94/417,716.77 = 226,058.02/x
  3. Step 3: Cross multiply
    302,671.94x = 417,716.77 × 226,058.02
  4. Step 4: Simplify right side
    302,671.94x = 94,428,225,947.00
  5. Step 5: Solve for x
    x = 94,428,225,947.00/302,671.94
  6. Step 6: Final answer
    x = 311,982.10

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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.