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Finding the Fourth Proportional to 430,704, 594,315.36 and 239,725.44

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Solution

The fourth proportional to 430,704, 594,315.36 and 239,725.44 is: 330,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,704 : 594,315.36 = 239,725.44 : x
  2. Step 2: Convert to fraction form
    430,704/594,315.36 = 239,725.44/x
  3. Step 3: Cross multiply
    430,704x = 594,315.36 × 239,725.44
  4. Step 4: Simplify right side
    430,704x = 142,472,511,174.76
  5. Step 5: Solve for x
    x = 142,472,511,174.76/430,704
  6. Step 6: Final answer
    x = 330,789.85

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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.