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Finding the Fourth Proportional to 420,072.40, 630,108.60 and 414,542.80

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Solution

The fourth proportional to 420,072.40, 630,108.60 and 414,542.80 is: 621,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,072.40 : 630,108.60 = 414,542.80 : x
  2. Step 2: Convert to fraction form
    420,072.40/630,108.60 = 414,542.80/x
  3. Step 3: Cross multiply
    420,072.40x = 630,108.60 × 414,542.80
  4. Step 4: Simplify right side
    420,072.40x = 261,206,983,348.08
  5. Step 5: Solve for x
    x = 261,206,983,348.08/420,072.40
  6. Step 6: Final answer
    x = 621,814.20

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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.