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Finding the Fourth Proportional to 308,764.63, 463,052.40 and 109,038.22

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Solution

The fourth proportional to 308,764.63, 463,052.40 and 109,038.22 is: 163,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,764.63 : 463,052.40 = 109,038.22 : x
  2. Step 2: Convert to fraction form
    308,764.63/463,052.40 = 109,038.22/x
  3. Step 3: Cross multiply
    308,764.63x = 463,052.40 × 109,038.22
  4. Step 4: Simplify right side
    308,764.63x = 50,490,407,896.20
  5. Step 5: Solve for x
    x = 50,490,407,896.20/308,764.63
  6. Step 6: Final answer
    x = 163,523.94

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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.