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Finding the Fourth Proportional to 302,680, 417,498.28 and 189,305.92

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Solution

The fourth proportional to 302,680, 417,498.28 and 189,305.92 is: 261,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,680 : 417,498.28 = 189,305.92 : x
  2. Step 2: Convert to fraction form
    302,680/417,498.28 = 189,305.92/x
  3. Step 3: Cross multiply
    302,680x = 417,498.28 × 189,305.92
  4. Step 4: Simplify right side
    302,680x = 79,034,895,993.82
  5. Step 5: Solve for x
    x = 79,034,895,993.82/302,680
  6. Step 6: Final answer
    x = 261,117.01

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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.