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Finding the Fourth Proportional to 302,565.82, 417,596.82 and 175,241.38

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Solution

The fourth proportional to 302,565.82, 417,596.82 and 175,241.38 is: 241,865.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,565.82 : 417,596.82 = 175,241.38 : x
  2. Step 2: Convert to fraction form
    302,565.82/417,596.82 = 175,241.38/x
  3. Step 3: Cross multiply
    302,565.82x = 417,596.82 × 175,241.38
  4. Step 4: Simplify right side
    302,565.82x = 73,180,240,932.43
  5. Step 5: Solve for x
    x = 73,180,240,932.43/302,565.82
  6. Step 6: Final answer
    x = 241,865.53

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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.