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Finding the Fourth Proportional to 340,893.58, 511,348.15 and 101,002.98

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Solution

The fourth proportional to 340,893.58, 511,348.15 and 101,002.98 is: 151,506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,893.58 : 511,348.15 = 101,002.98 : x
  2. Step 2: Convert to fraction form
    340,893.58/511,348.15 = 101,002.98/x
  3. Step 3: Cross multiply
    340,893.58x = 511,348.15 × 101,002.98
  4. Step 4: Simplify right side
    340,893.58x = 51,647,684,410.75
  5. Step 5: Solve for x
    x = 51,647,684,410.75/340,893.58
  6. Step 6: Final answer
    x = 151,506.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.