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Finding the Fourth Proportional to 471,516.96, 650,682 and 270,300

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Solution

The fourth proportional to 471,516.96, 650,682 and 270,300 is: 373,007.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,516.96 : 650,682 = 270,300 : x
  2. Step 2: Convert to fraction form
    471,516.96/650,682 = 270,300/x
  3. Step 3: Cross multiply
    471,516.96x = 650,682 × 270,300
  4. Step 4: Simplify right side
    471,516.96x = 175,879,344,600
  5. Step 5: Solve for x
    x = 175,879,344,600/471,516.96
  6. Step 6: Final answer
    x = 373,007.46

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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.