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Finding the Fourth Proportional to 652,583.16, 978,294.90 and 231,803.64

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Solution

The fourth proportional to 652,583.16, 978,294.90 and 231,803.64 is: 347,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,583.16 : 978,294.90 = 231,803.64 : x
  2. Step 2: Convert to fraction form
    652,583.16/978,294.90 = 231,803.64/x
  3. Step 3: Cross multiply
    652,583.16x = 978,294.90 × 231,803.64
  4. Step 4: Simplify right side
    652,583.16x = 226,772,318,813.44
  5. Step 5: Solve for x
    x = 226,772,318,813.44/652,583.16
  6. Step 6: Final answer
    x = 347,499.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.