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Finding the Fourth Proportional to 432,913.82, 597,369.32 and 239,295.38

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Solution

The fourth proportional to 432,913.82, 597,369.32 and 239,295.38 is: 330,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,913.82 : 597,369.32 = 239,295.38 : x
  2. Step 2: Convert to fraction form
    432,913.82/597,369.32 = 239,295.38/x
  3. Step 3: Cross multiply
    432,913.82x = 597,369.32 × 239,295.38
  4. Step 4: Simplify right side
    432,913.82x = 142,947,720,521.40
  5. Step 5: Solve for x
    x = 142,947,720,521.40/432,913.82
  6. Step 6: Final answer
    x = 330,199.02

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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.