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Finding the Fourth Proportional to 421,772.02, 632,665.36 and 155,395.42

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Solution

The fourth proportional to 421,772.02, 632,665.36 and 155,395.42 is: 233,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,772.02 : 632,665.36 = 155,395.42 : x
  2. Step 2: Convert to fraction form
    421,772.02/632,665.36 = 155,395.42/x
  3. Step 3: Cross multiply
    421,772.02x = 632,665.36 × 155,395.42
  4. Step 4: Simplify right side
    421,772.02x = 98,313,299,336.65
  5. Step 5: Solve for x
    x = 98,313,299,336.65/421,772.02
  6. Step 6: Final answer
    x = 233,095.83

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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.