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Finding the Fourth Proportional to 461,631.69, 692,537.31 and 177,301.44

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Solution

The fourth proportional to 461,631.69, 692,537.31 and 177,301.44 is: 265,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,631.69 : 692,537.31 = 177,301.44 : x
  2. Step 2: Convert to fraction form
    461,631.69/692,537.31 = 177,301.44/x
  3. Step 3: Cross multiply
    461,631.69x = 692,537.31 × 177,301.44
  4. Step 4: Simplify right side
    461,631.69x = 122,787,859,920.50
  5. Step 5: Solve for x
    x = 122,787,859,920.50/461,631.69
  6. Step 6: Final answer
    x = 265,986.64

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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.