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Finding the Fourth Proportional to 317,745.44, 476,686.74 and 107,378.72

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Solution

The fourth proportional to 317,745.44, 476,686.74 and 107,378.72 is: 161,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,745.44 : 476,686.74 = 107,378.72 : x
  2. Step 2: Convert to fraction form
    317,745.44/476,686.74 = 107,378.72/x
  3. Step 3: Cross multiply
    317,745.44x = 476,686.74 × 107,378.72
  4. Step 4: Simplify right side
    317,745.44x = 51,186,011,982.17
  5. Step 5: Solve for x
    x = 51,186,011,982.17/317,745.44
  6. Step 6: Final answer
    x = 161,091.26

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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.