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Finding the Fourth Proportional to 366,813.54, 506,196.20 and 205,668.09

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Solution

The fourth proportional to 366,813.54, 506,196.20 and 205,668.09 is: 283,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,813.54 : 506,196.20 = 205,668.09 : x
  2. Step 2: Convert to fraction form
    366,813.54/506,196.20 = 205,668.09/x
  3. Step 3: Cross multiply
    366,813.54x = 506,196.20 × 205,668.09
  4. Step 4: Simplify right side
    366,813.54x = 104,108,406,133.43
  5. Step 5: Solve for x
    x = 104,108,406,133.43/366,813.54
  6. Step 6: Final answer
    x = 283,818.33

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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.