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Finding the Fourth Proportional to 421,638.80, 632,803.80 and 407,814.80

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Solution

The fourth proportional to 421,638.80, 632,803.80 and 407,814.80 is: 612,056.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,638.80 : 632,803.80 = 407,814.80 : x
  2. Step 2: Convert to fraction form
    421,638.80/632,803.80 = 407,814.80/x
  3. Step 3: Cross multiply
    421,638.80x = 632,803.80 × 407,814.80
  4. Step 4: Simplify right side
    421,638.80x = 258,066,755,136.24
  5. Step 5: Solve for x
    x = 258,066,755,136.24/421,638.80
  6. Step 6: Final answer
    x = 612,056.47

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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.