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Finding the Fourth Proportional to 513,971.14, 709,288.58 and 281,394.20

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Solution

The fourth proportional to 513,971.14, 709,288.58 and 281,394.20 is: 388,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,971.14 : 709,288.58 = 281,394.20 : x
  2. Step 2: Convert to fraction form
    513,971.14/709,288.58 = 281,394.20/x
  3. Step 3: Cross multiply
    513,971.14x = 709,288.58 × 281,394.20
  4. Step 4: Simplify right side
    513,971.14x = 199,589,692,538.24
  5. Step 5: Solve for x
    x = 199,589,692,538.24/513,971.14
  6. Step 6: Final answer
    x = 388,328.60

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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.