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Finding the Fourth Proportional to 421,601.70, 632,183.85 and 155,225.10

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Solution

The fourth proportional to 421,601.70, 632,183.85 and 155,225.10 is: 232,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,601.70 : 632,183.85 = 155,225.10 : x
  2. Step 2: Convert to fraction form
    421,601.70/632,183.85 = 155,225.10/x
  3. Step 3: Cross multiply
    421,601.70x = 632,183.85 × 155,225.10
  4. Step 4: Simplify right side
    421,601.70x = 98,130,801,334.64
  5. Step 5: Solve for x
    x = 98,130,801,334.64/421,601.70
  6. Step 6: Final answer
    x = 232,757.13

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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.