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Finding the Fourth Proportional to 309,640, 464,538.06 and 88,024

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Solution

The fourth proportional to 309,640, 464,538.06 and 88,024 is: 132,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,640 : 464,538.06 = 88,024 : x
  2. Step 2: Convert to fraction form
    309,640/464,538.06 = 88,024/x
  3. Step 3: Cross multiply
    309,640x = 464,538.06 × 88,024
  4. Step 4: Simplify right side
    309,640x = 40,890,498,193.44
  5. Step 5: Solve for x
    x = 40,890,498,193.44/309,640
  6. Step 6: Final answer
    x = 132,058.19

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