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Finding the Fourth Proportional to 421,810.40, 632,771.10 and 155,757.80

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Solution

The fourth proportional to 421,810.40, 632,771.10 and 155,757.80 is: 233,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,810.40 : 632,771.10 = 155,757.80 : x
  2. Step 2: Convert to fraction form
    421,810.40/632,771.10 = 155,757.80/x
  3. Step 3: Cross multiply
    421,810.40x = 632,771.10 × 155,757.80
  4. Step 4: Simplify right side
    421,810.40x = 98,559,034,439.58
  5. Step 5: Solve for x
    x = 98,559,034,439.58/421,810.40
  6. Step 6: Final answer
    x = 233,657.19

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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.