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Finding the Fourth Proportional to 309,597, 427,262.52 and 173,639

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Solution

The fourth proportional to 309,597, 427,262.52 and 173,639 is: 239,632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,597 : 427,262.52 = 173,639 : x
  2. Step 2: Convert to fraction form
    309,597/427,262.52 = 173,639/x
  3. Step 3: Cross multiply
    309,597x = 427,262.52 × 173,639
  4. Step 4: Simplify right side
    309,597x = 74,189,436,710.28
  5. Step 5: Solve for x
    x = 74,189,436,710.28/309,597
  6. Step 6: Final answer
    x = 239,632.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.