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Finding the Fourth Proportional to 340,825.83, 470,340.57 and 204,937.59

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Solution

The fourth proportional to 340,825.83, 470,340.57 and 204,937.59 is: 282,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,825.83 : 470,340.57 = 204,937.59 : x
  2. Step 2: Convert to fraction form
    340,825.83/470,340.57 = 204,937.59/x
  3. Step 3: Cross multiply
    340,825.83x = 470,340.57 × 204,937.59
  4. Step 4: Simplify right side
    340,825.83x = 96,390,465,427.32
  5. Step 5: Solve for x
    x = 96,390,465,427.32/340,825.83
  6. Step 6: Final answer
    x = 282,814.44

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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.