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Finding the Fourth Proportional to 299,040.16, 447,917.04 and 141,031.84

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Solution

The fourth proportional to 299,040.16, 447,917.04 and 141,031.84 is: 211,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,040.16 : 447,917.04 = 141,031.84 : x
  2. Step 2: Convert to fraction form
    299,040.16/447,917.04 = 141,031.84/x
  3. Step 3: Cross multiply
    299,040.16x = 447,917.04 × 141,031.84
  4. Step 4: Simplify right side
    299,040.16x = 63,170,564,318.55
  5. Step 5: Solve for x
    x = 63,170,564,318.55/299,040.16
  6. Step 6: Final answer
    x = 211,244.42

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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.