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Finding the Fourth Proportional to 652,585.16, 978,297.90 and 231,805.64

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Solution

The fourth proportional to 652,585.16, 978,297.90 and 231,805.64 is: 347,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,585.16 : 978,297.90 = 231,805.64 : x
  2. Step 2: Convert to fraction form
    652,585.16/978,297.90 = 231,805.64/x
  3. Step 3: Cross multiply
    652,585.16x = 978,297.90 × 231,805.64
  4. Step 4: Simplify right side
    652,585.16x = 226,774,970,820.16
  5. Step 5: Solve for x
    x = 226,774,970,820.16/652,585.16
  6. Step 6: Final answer
    x = 347,502.49

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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.