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Finding the Fourth Proportional to 509,143.76, 702,540.34 and 294,242.36

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Solution

The fourth proportional to 509,143.76, 702,540.34 and 294,242.36 is: 406,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,143.76 : 702,540.34 = 294,242.36 : x
  2. Step 2: Convert to fraction form
    509,143.76/702,540.34 = 294,242.36/x
  3. Step 3: Cross multiply
    509,143.76x = 702,540.34 × 294,242.36
  4. Step 4: Simplify right side
    509,143.76x = 206,717,123,388.50
  5. Step 5: Solve for x
    x = 206,717,123,388.50/509,143.76
  6. Step 6: Final answer
    x = 406,009.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.