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Finding the Fourth Proportional to 302,633.82, 416,924.28 and 210,594.87

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Solution

The fourth proportional to 302,633.82, 416,924.28 and 210,594.87 is: 290,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,633.82 : 416,924.28 = 210,594.87 : x
  2. Step 2: Convert to fraction form
    302,633.82/416,924.28 = 210,594.87/x
  3. Step 3: Cross multiply
    302,633.82x = 416,924.28 × 210,594.87
  4. Step 4: Simplify right side
    302,633.82x = 87,802,114,546.44
  5. Step 5: Solve for x
    x = 87,802,114,546.44/302,633.82
  6. Step 6: Final answer
    x = 290,126.58

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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.