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Finding the Fourth Proportional to 316,832.44, 474,116.16 and 275,203

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Solution

The fourth proportional to 316,832.44, 474,116.16 and 275,203 is: 411,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,832.44 : 474,116.16 = 275,203 : x
  2. Step 2: Convert to fraction form
    316,832.44/474,116.16 = 275,203/x
  3. Step 3: Cross multiply
    316,832.44x = 474,116.16 × 275,203
  4. Step 4: Simplify right side
    316,832.44x = 130,478,189,580.48
  5. Step 5: Solve for x
    x = 130,478,189,580.48/316,832.44
  6. Step 6: Final answer
    x = 411,820.80

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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.