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Finding the Fourth Proportional to 316,224.24, 474,361.12 and 91,588

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Solution

The fourth proportional to 316,224.24, 474,361.12 and 91,588 is: 137,389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,224.24 : 474,361.12 = 91,588 : x
  2. Step 2: Convert to fraction form
    316,224.24/474,361.12 = 91,588/x
  3. Step 3: Cross multiply
    316,224.24x = 474,361.12 × 91,588
  4. Step 4: Simplify right side
    316,224.24x = 43,445,786,258.56
  5. Step 5: Solve for x
    x = 43,445,786,258.56/316,224.24
  6. Step 6: Final answer
    x = 137,389.17

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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.