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Finding the Fourth Proportional to 441,222.98, 661,758.30 and 117,013.34

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Solution

The fourth proportional to 441,222.98, 661,758.30 and 117,013.34 is: 175,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,222.98 : 661,758.30 = 117,013.34 : x
  2. Step 2: Convert to fraction form
    441,222.98/661,758.30 = 117,013.34/x
  3. Step 3: Cross multiply
    441,222.98x = 661,758.30 × 117,013.34
  4. Step 4: Simplify right side
    441,222.98x = 77,434,548,955.72
  5. Step 5: Solve for x
    x = 77,434,548,955.72/441,222.98
  6. Step 6: Final answer
    x = 175,499.81

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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.