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Finding the Fourth Proportional to 512,588.22, 768,594.33 and 212,867.16

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Solution

The fourth proportional to 512,588.22, 768,594.33 and 212,867.16 is: 319,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,588.22 : 768,594.33 = 212,867.16 : x
  2. Step 2: Convert to fraction form
    512,588.22/768,594.33 = 212,867.16/x
  3. Step 3: Cross multiply
    512,588.22x = 768,594.33 × 212,867.16
  4. Step 4: Simplify right side
    512,588.22x = 163,608,492,219.20
  5. Step 5: Solve for x
    x = 163,608,492,219.20/512,588.22
  6. Step 6: Final answer
    x = 319,181.14

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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.