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Finding the Fourth Proportional to 417,958.58, 576,959.39 and 282,176.43

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Solution

The fourth proportional to 417,958.58, 576,959.39 and 282,176.43 is: 389,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,958.58 : 576,959.39 = 282,176.43 : x
  2. Step 2: Convert to fraction form
    417,958.58/576,959.39 = 282,176.43/x
  3. Step 3: Cross multiply
    417,958.58x = 576,959.39 × 282,176.43
  4. Step 4: Simplify right side
    417,958.58x = 162,804,339,514.30
  5. Step 5: Solve for x
    x = 162,804,339,514.30/417,958.58
  6. Step 6: Final answer
    x = 389,522.67

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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.