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Finding the Fourth Proportional to 397,268.90, 595,903.35 and 239,416.10

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Solution

The fourth proportional to 397,268.90, 595,903.35 and 239,416.10 is: 359,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,268.90 : 595,903.35 = 239,416.10 : x
  2. Step 2: Convert to fraction form
    397,268.90/595,903.35 = 239,416.10/x
  3. Step 3: Cross multiply
    397,268.90x = 595,903.35 × 239,416.10
  4. Step 4: Simplify right side
    397,268.90x = 142,668,856,033.94
  5. Step 5: Solve for x
    x = 142,668,856,033.94/397,268.90
  6. Step 6: Final answer
    x = 359,124.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.