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Finding the Fourth Proportional to 508,933.38, 702,414.46 and 294,197.93

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Solution

The fourth proportional to 508,933.38, 702,414.46 and 294,197.93 is: 406,043.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,933.38 : 702,414.46 = 294,197.93 : x
  2. Step 2: Convert to fraction form
    508,933.38/702,414.46 = 294,197.93/x
  3. Step 3: Cross multiply
    508,933.38x = 702,414.46 × 294,197.93
  4. Step 4: Simplify right side
    508,933.38x = 206,648,880,134.07
  5. Step 5: Solve for x
    x = 206,648,880,134.07/508,933.38
  6. Step 6: Final answer
    x = 406,043.09

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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.