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Finding the Fourth Proportional to 385,102.53, 531,460.14 and 213,019.74

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Solution

The fourth proportional to 385,102.53, 531,460.14 and 213,019.74 is: 293,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,102.53 : 531,460.14 = 213,019.74 : x
  2. Step 2: Convert to fraction form
    385,102.53/531,460.14 = 213,019.74/x
  3. Step 3: Cross multiply
    385,102.53x = 531,460.14 × 213,019.74
  4. Step 4: Simplify right side
    385,102.53x = 113,211,500,843.16
  5. Step 5: Solve for x
    x = 113,211,500,843.16/385,102.53
  6. Step 6: Final answer
    x = 293,977.56

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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.