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Finding the Fourth Proportional to 340,805.35, 470,346.38 and 204,883.30

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Solution

The fourth proportional to 340,805.35, 470,346.38 and 204,883.30 is: 282,759.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,805.35 : 470,346.38 = 204,883.30 : x
  2. Step 2: Convert to fraction form
    340,805.35/470,346.38 = 204,883.30/x
  3. Step 3: Cross multiply
    340,805.35x = 470,346.38 × 204,883.30
  4. Step 4: Simplify right side
    340,805.35x = 96,366,118,477.45
  5. Step 5: Solve for x
    x = 96,366,118,477.45/340,805.35
  6. Step 6: Final answer
    x = 282,759.99

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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.