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Finding the Fourth Proportional to 430,103.84, 593,509.68 and 239,105.60

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Solution

The fourth proportional to 430,103.84, 593,509.68 and 239,105.60 is: 329,947.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,103.84 : 593,509.68 = 239,105.60 : x
  2. Step 2: Convert to fraction form
    430,103.84/593,509.68 = 239,105.60/x
  3. Step 3: Cross multiply
    430,103.84x = 593,509.68 × 239,105.60
  4. Step 4: Simplify right side
    430,103.84x = 141,911,488,142.21
  5. Step 5: Solve for x
    x = 141,911,488,142.21/430,103.84
  6. Step 6: Final answer
    x = 329,947.04

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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.