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Finding the Fourth Proportional to 302,217.77, 417,051.84 and 164,392.35

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Solution

The fourth proportional to 302,217.77, 417,051.84 and 164,392.35 is: 226,856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,217.77 : 417,051.84 = 164,392.35 : x
  2. Step 2: Convert to fraction form
    302,217.77/417,051.84 = 164,392.35/x
  3. Step 3: Cross multiply
    302,217.77x = 417,051.84 × 164,392.35
  4. Step 4: Simplify right side
    302,217.77x = 68,560,131,804.02
  5. Step 5: Solve for x
    x = 68,560,131,804.02/302,217.77
  6. Step 6: Final answer
    x = 226,856.72

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