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Finding the Fourth Proportional to 437,613.84, 656,680.77 and 188,295.84

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Solution

The fourth proportional to 437,613.84, 656,680.77 and 188,295.84 is: 282,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,613.84 : 656,680.77 = 188,295.84 : x
  2. Step 2: Convert to fraction form
    437,613.84/656,680.77 = 188,295.84/x
  3. Step 3: Cross multiply
    437,613.84x = 656,680.77 × 188,295.84
  4. Step 4: Simplify right side
    437,613.84x = 123,650,257,199.00
  5. Step 5: Solve for x
    x = 123,650,257,199.00/437,613.84
  6. Step 6: Final answer
    x = 282,555.64

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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.