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Finding the Fourth Proportional to 217,468.80, 326,203.20 and 217,468.80

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Solution

The fourth proportional to 217,468.80, 326,203.20 and 217,468.80 is: 326,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,468.80 : 326,203.20 = 217,468.80 : x
  2. Step 2: Convert to fraction form
    217,468.80/326,203.20 = 217,468.80/x
  3. Step 3: Cross multiply
    217,468.80x = 326,203.20 × 217,468.80
  4. Step 4: Simplify right side
    217,468.80x = 70,939,018,460.16
  5. Step 5: Solve for x
    x = 70,939,018,460.16/217,468.80
  6. Step 6: Final answer
    x = 326,203.20

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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.