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Finding the Fourth Proportional to 217,698, 326,448.48 and 77,460.32

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Solution

The fourth proportional to 217,698, 326,448.48 and 77,460.32 is: 116,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,698 : 326,448.48 = 77,460.32 : x
  2. Step 2: Convert to fraction form
    217,698/326,448.48 = 77,460.32/x
  3. Step 3: Cross multiply
    217,698x = 326,448.48 × 77,460.32
  4. Step 4: Simplify right side
    217,698x = 25,286,803,724.31
  5. Step 5: Solve for x
    x = 25,286,803,724.31/217,698
  6. Step 6: Final answer
    x = 116,155.43

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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.