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Finding the Fourth Proportional to 308,924.64, 463,395.06 and 98,562.60

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Solution

The fourth proportional to 308,924.64, 463,395.06 and 98,562.60 is: 147,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,924.64 : 463,395.06 = 98,562.60 : x
  2. Step 2: Convert to fraction form
    308,924.64/463,395.06 = 98,562.60/x
  3. Step 3: Cross multiply
    308,924.64x = 463,395.06 × 98,562.60
  4. Step 4: Simplify right side
    308,924.64x = 45,673,421,940.76
  5. Step 5: Solve for x
    x = 45,673,421,940.76/308,924.64
  6. Step 6: Final answer
    x = 147,846.48

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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.