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Finding the Fourth Proportional to 212,468.40, 318,875.40 and 205,556.40

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Solution

The fourth proportional to 212,468.40, 318,875.40 and 205,556.40 is: 308,501.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,468.40 : 318,875.40 = 205,556.40 : x
  2. Step 2: Convert to fraction form
    212,468.40/318,875.40 = 205,556.40/x
  3. Step 3: Cross multiply
    212,468.40x = 318,875.40 × 205,556.40
  4. Step 4: Simplify right side
    212,468.40x = 65,546,879,272.56
  5. Step 5: Solve for x
    x = 65,546,879,272.56/212,468.40
  6. Step 6: Final answer
    x = 308,501.78

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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.