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Finding the Fourth Proportional to 436,152.25, 654,142.13 and 414,524.11

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Solution

The fourth proportional to 436,152.25, 654,142.13 and 414,524.11 is: 621,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,152.25 : 654,142.13 = 414,524.11 : x
  2. Step 2: Convert to fraction form
    436,152.25/654,142.13 = 414,524.11/x
  3. Step 3: Cross multiply
    436,152.25x = 654,142.13 × 414,524.11
  4. Step 4: Simplify right side
    436,152.25x = 271,157,681,484.99
  5. Step 5: Solve for x
    x = 271,157,681,484.99/436,152.25
  6. Step 6: Final answer
    x = 621,704.20

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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.