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Finding the Fourth Proportional to 476,620.50, 714,743.82 and 172,942.50

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Solution

The fourth proportional to 476,620.50, 714,743.82 and 172,942.50 is: 259,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,620.50 : 714,743.82 = 172,942.50 : x
  2. Step 2: Convert to fraction form
    476,620.50/714,743.82 = 172,942.50/x
  3. Step 3: Cross multiply
    476,620.50x = 714,743.82 × 172,942.50
  4. Step 4: Simplify right side
    476,620.50x = 123,609,583,090.35
  5. Step 5: Solve for x
    x = 123,609,583,090.35/476,620.50
  6. Step 6: Final answer
    x = 259,345.92

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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.