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Finding the Fourth Proportional to 340,634.96, 470,053.67 and 204,674.63

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Solution

The fourth proportional to 340,634.96, 470,053.67 and 204,674.63 is: 282,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,634.96 : 470,053.67 = 204,674.63 : x
  2. Step 2: Convert to fraction form
    340,634.96/470,053.67 = 204,674.63/x
  3. Step 3: Cross multiply
    340,634.96x = 470,053.67 × 204,674.63
  4. Step 4: Simplify right side
    340,634.96x = 96,208,057,613.75
  5. Step 5: Solve for x
    x = 96,208,057,613.75/340,634.96
  6. Step 6: Final answer
    x = 282,437.42

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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.