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Finding the Fourth Proportional to 509,058.46, 702,459.70 and 294,212.44

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Solution

The fourth proportional to 509,058.46, 702,459.70 and 294,212.44 is: 405,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,058.46 : 702,459.70 = 294,212.44 : x
  2. Step 2: Convert to fraction form
    509,058.46/702,459.70 = 294,212.44/x
  3. Step 3: Cross multiply
    509,058.46x = 702,459.70 × 294,212.44
  4. Step 4: Simplify right side
    509,058.46x = 206,672,382,338.67
  5. Step 5: Solve for x
    x = 206,672,382,338.67/509,058.46
  6. Step 6: Final answer
    x = 405,989.49

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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.