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Finding the Fourth Proportional to 290,083.58, 400,322.23 and 162,768.59

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Solution

The fourth proportional to 290,083.58, 400,322.23 and 162,768.59 is: 224,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,083.58 : 400,322.23 = 162,768.59 : x
  2. Step 2: Convert to fraction form
    290,083.58/400,322.23 = 162,768.59/x
  3. Step 3: Cross multiply
    290,083.58x = 400,322.23 × 162,768.59
  4. Step 4: Simplify right side
    290,083.58x = 65,159,882,921.14
  5. Step 5: Solve for x
    x = 65,159,882,921.14/290,083.58
  6. Step 6: Final answer
    x = 224,624.52

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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.