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Finding the Fourth Proportional to 430,898.64, 594,644.22 and 239,916.12

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Solution

The fourth proportional to 430,898.64, 594,644.22 and 239,916.12 is: 331,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,898.64 : 594,644.22 = 239,916.12 : x
  2. Step 2: Convert to fraction form
    430,898.64/594,644.22 = 239,916.12/x
  3. Step 3: Cross multiply
    430,898.64x = 594,644.22 × 239,916.12
  4. Step 4: Simplify right side
    430,898.64x = 142,664,734,042.83
  5. Step 5: Solve for x
    x = 142,664,734,042.83/430,898.64
  6. Step 6: Final answer
    x = 331,086.53

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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.