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Finding the Fourth Proportional to 302,876.56, 417,757.80 and 257,240.08

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Solution

The fourth proportional to 302,876.56, 417,757.80 and 257,240.08 is: 354,811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,876.56 : 417,757.80 = 257,240.08 : x
  2. Step 2: Convert to fraction form
    302,876.56/417,757.80 = 257,240.08/x
  3. Step 3: Cross multiply
    302,876.56x = 417,757.80 × 257,240.08
  4. Step 4: Simplify right side
    302,876.56x = 107,464,049,892.62
  5. Step 5: Solve for x
    x = 107,464,049,892.62/302,876.56
  6. Step 6: Final answer
    x = 354,811.38

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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.