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Finding the Fourth Proportional to 580,651.68, 870,986.28 and 201,584.45

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Solution

The fourth proportional to 580,651.68, 870,986.28 and 201,584.45 is: 302,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,651.68 : 870,986.28 = 201,584.45 : x
  2. Step 2: Convert to fraction form
    580,651.68/870,986.28 = 201,584.45/x
  3. Step 3: Cross multiply
    580,651.68x = 870,986.28 × 201,584.45
  4. Step 4: Simplify right side
    580,651.68x = 175,577,289,203.42
  5. Step 5: Solve for x
    x = 175,577,289,203.42/580,651.68
  6. Step 6: Final answer
    x = 302,379.71

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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.