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Finding the Fourth Proportional to 430,085.68, 593,538.49 and 239,102.26

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Solution

The fourth proportional to 430,085.68, 593,538.49 and 239,102.26 is: 329,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,085.68 : 593,538.49 = 239,102.26 : x
  2. Step 2: Convert to fraction form
    430,085.68/593,538.49 = 239,102.26/x
  3. Step 3: Cross multiply
    430,085.68x = 593,538.49 × 239,102.26
  4. Step 4: Simplify right side
    430,085.68x = 141,916,394,355.99
  5. Step 5: Solve for x
    x = 141,916,394,355.99/430,085.68
  6. Step 6: Final answer
    x = 329,972.38

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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.