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Finding the Fourth Proportional to 415,095.91, 622,228.12 and 162,028.42

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Solution

The fourth proportional to 415,095.91, 622,228.12 and 162,028.42 is: 242,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,095.91 : 622,228.12 = 162,028.42 : x
  2. Step 2: Convert to fraction form
    415,095.91/622,228.12 = 162,028.42/x
  3. Step 3: Cross multiply
    415,095.91x = 622,228.12 × 162,028.42
  4. Step 4: Simplify right side
    415,095.91x = 100,818,639,163.17
  5. Step 5: Solve for x
    x = 100,818,639,163.17/415,095.91
  6. Step 6: Final answer
    x = 242,880.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.