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Finding the Fourth Proportional to 333,042.99, 459,684.77 and 205,645.38

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Solution

The fourth proportional to 333,042.99, 459,684.77 and 205,645.38 is: 283,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,042.99 : 459,684.77 = 205,645.38 : x
  2. Step 2: Convert to fraction form
    333,042.99/459,684.77 = 205,645.38/x
  3. Step 3: Cross multiply
    333,042.99x = 459,684.77 × 205,645.38
  4. Step 4: Simplify right side
    333,042.99x = 94,532,048,178.64
  5. Step 5: Solve for x
    x = 94,532,048,178.64/333,042.99
  6. Step 6: Final answer
    x = 283,843.38

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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.