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Finding the Fourth Proportional to 509,080.73, 702,490.43 and 294,234.71

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Solution

The fourth proportional to 509,080.73, 702,490.43 and 294,234.71 is: 406,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,080.73 : 702,490.43 = 294,234.71 : x
  2. Step 2: Convert to fraction form
    509,080.73/702,490.43 = 294,234.71/x
  3. Step 3: Cross multiply
    509,080.73x = 702,490.43 × 294,234.71
  4. Step 4: Simplify right side
    509,080.73x = 206,697,064,436.37
  5. Step 5: Solve for x
    x = 206,697,064,436.37/509,080.73
  6. Step 6: Final answer
    x = 406,020.21

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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.