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Finding the Fourth Proportional to 302,035.02, 416,797.83 and 194,609.58

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Solution

The fourth proportional to 302,035.02, 416,797.83 and 194,609.58 is: 268,554.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,035.02 : 416,797.83 = 194,609.58 : x
  2. Step 2: Convert to fraction form
    302,035.02/416,797.83 = 194,609.58/x
  3. Step 3: Cross multiply
    302,035.02x = 416,797.83 × 194,609.58
  4. Step 4: Simplify right side
    302,035.02x = 81,112,850,641.21
  5. Step 5: Solve for x
    x = 81,112,850,641.21/302,035.02
  6. Step 6: Final answer
    x = 268,554.46

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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.