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Finding the Fourth Proportional to 509,057.46, 702,458.33 and 294,211.44

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Solution

The fourth proportional to 509,057.46, 702,458.33 and 294,211.44 is: 405,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,057.46 : 702,458.33 = 294,211.44 : x
  2. Step 2: Convert to fraction form
    509,057.46/702,458.33 = 294,211.44/x
  3. Step 3: Cross multiply
    509,057.46x = 702,458.33 × 294,211.44
  4. Step 4: Simplify right side
    509,057.46x = 206,671,275,338.24
  5. Step 5: Solve for x
    x = 206,671,275,338.24/509,057.46
  6. Step 6: Final answer
    x = 405,988.11

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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.