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Finding the Fourth Proportional to 509,301.49, 702,794.93 and 294,455.41

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Solution

The fourth proportional to 509,301.49, 702,794.93 and 294,455.41 is: 406,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,301.49 : 702,794.93 = 294,455.41 : x
  2. Step 2: Convert to fraction form
    509,301.49/702,794.93 = 294,455.41/x
  3. Step 3: Cross multiply
    509,301.49x = 702,794.93 × 294,455.41
  4. Step 4: Simplify right side
    509,301.49x = 206,941,769,259.07
  5. Step 5: Solve for x
    x = 206,941,769,259.07/509,301.49
  6. Step 6: Final answer
    x = 406,324.69

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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.