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Finding the Fourth Proportional to 430,396.98, 593,924.25 and 236,801.02

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Solution

The fourth proportional to 430,396.98, 593,924.25 and 236,801.02 is: 326,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,396.98 : 593,924.25 = 236,801.02 : x
  2. Step 2: Convert to fraction form
    430,396.98/593,924.25 = 236,801.02/x
  3. Step 3: Cross multiply
    430,396.98x = 593,924.25 × 236,801.02
  4. Step 4: Simplify right side
    430,396.98x = 140,641,868,202.74
  5. Step 5: Solve for x
    x = 140,641,868,202.74/430,396.98
  6. Step 6: Final answer
    x = 326,772.43

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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.