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Finding the Fourth Proportional to 421,468.20, 632,202.30 and 421,468.20

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Solution

The fourth proportional to 421,468.20, 632,202.30 and 421,468.20 is: 632,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,468.20 : 632,202.30 = 421,468.20 : x
  2. Step 2: Convert to fraction form
    421,468.20/632,202.30 = 421,468.20/x
  3. Step 3: Cross multiply
    421,468.20x = 632,202.30 × 421,468.20
  4. Step 4: Simplify right side
    421,468.20x = 266,453,165,416.86
  5. Step 5: Solve for x
    x = 266,453,165,416.86/421,468.20
  6. Step 6: Final answer
    x = 632,202.30

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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.