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Finding the Fourth Proportional to 509,098.46, 702,514.77 and 294,252.44

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Solution

The fourth proportional to 509,098.46, 702,514.77 and 294,252.44 is: 406,044.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,098.46 : 702,514.77 = 294,252.44 : x
  2. Step 2: Convert to fraction form
    509,098.46/702,514.77 = 294,252.44/x
  3. Step 3: Cross multiply
    509,098.46x = 702,514.77 × 294,252.44
  4. Step 4: Simplify right side
    509,098.46x = 206,716,685,208.54
  5. Step 5: Solve for x
    x = 206,716,685,208.54/509,098.46
  6. Step 6: Final answer
    x = 406,044.61

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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.