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Finding the Fourth Proportional to 340,862.60, 470,425.38 and 204,940.82

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Solution

The fourth proportional to 340,862.60, 470,425.38 and 204,940.82 is: 282,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,862.60 : 470,425.38 = 204,940.82 : x
  2. Step 2: Convert to fraction form
    340,862.60/470,425.38 = 204,940.82/x
  3. Step 3: Cross multiply
    340,862.60x = 470,425.38 × 204,940.82
  4. Step 4: Simplify right side
    340,862.60x = 96,409,363,126.01
  5. Step 5: Solve for x
    x = 96,409,363,126.01/340,862.60
  6. Step 6: Final answer
    x = 282,839.37

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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.