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Finding the Fourth Proportional to 464,780.90, 641,233.14 and 303,729.32

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Solution

The fourth proportional to 464,780.90, 641,233.14 and 303,729.32 is: 419,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,780.90 : 641,233.14 = 303,729.32 : x
  2. Step 2: Convert to fraction form
    464,780.90/641,233.14 = 303,729.32/x
  3. Step 3: Cross multiply
    464,780.90x = 641,233.14 × 303,729.32
  4. Step 4: Simplify right side
    464,780.90x = 194,761,302,367.50
  5. Step 5: Solve for x
    x = 194,761,302,367.50/464,780.90
  6. Step 6: Final answer
    x = 419,038.96

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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.