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Finding the Fourth Proportional to 463,807.44, 695,844 and 227,219.40

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Solution

The fourth proportional to 463,807.44, 695,844 and 227,219.40 is: 340,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,807.44 : 695,844 = 227,219.40 : x
  2. Step 2: Convert to fraction form
    463,807.44/695,844 = 227,219.40/x
  3. Step 3: Cross multiply
    463,807.44x = 695,844 × 227,219.40
  4. Step 4: Simplify right side
    463,807.44x = 158,109,256,173.60
  5. Step 5: Solve for x
    x = 158,109,256,173.60/463,807.44
  6. Step 6: Final answer
    x = 340,894.18

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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.