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Finding the Fourth Proportional to 340,593.28, 470,033.25 and 189,690.28

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Solution

The fourth proportional to 340,593.28, 470,033.25 and 189,690.28 is: 261,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,593.28 : 470,033.25 = 189,690.28 : x
  2. Step 2: Convert to fraction form
    340,593.28/470,033.25 = 189,690.28/x
  3. Step 3: Cross multiply
    340,593.28x = 470,033.25 × 189,690.28
  4. Step 4: Simplify right side
    340,593.28x = 89,160,738,801.81
  5. Step 5: Solve for x
    x = 89,160,738,801.81/340,593.28
  6. Step 6: Final answer
    x = 261,780.68

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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.