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Finding the Fourth Proportional to 505,310.87, 697,287.11 and 287,461.59

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Solution

The fourth proportional to 505,310.87, 697,287.11 and 287,461.59 is: 396,673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,310.87 : 697,287.11 = 287,461.59 : x
  2. Step 2: Convert to fraction form
    505,310.87/697,287.11 = 287,461.59/x
  3. Step 3: Cross multiply
    505,310.87x = 697,287.11 × 287,461.59
  4. Step 4: Simplify right side
    505,310.87x = 200,443,259,889.80
  5. Step 5: Solve for x
    x = 200,443,259,889.80/505,310.87
  6. Step 6: Final answer
    x = 396,673.16

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1.5x scale

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.