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Finding the Fourth Proportional to 302,418.84, 417,164.16 and 189,044.76

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Solution

The fourth proportional to 302,418.84, 417,164.16 and 189,044.76 is: 260,773.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,418.84 : 417,164.16 = 189,044.76 : x
  2. Step 2: Convert to fraction form
    302,418.84/417,164.16 = 189,044.76/x
  3. Step 3: Cross multiply
    302,418.84x = 417,164.16 × 189,044.76
  4. Step 4: Simplify right side
    302,418.84x = 78,862,698,507.80
  5. Step 5: Solve for x
    x = 78,862,698,507.80/302,418.84
  6. Step 6: Final answer
    x = 260,773.10

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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.