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Finding the Fourth Proportional to 327,541.88, 452,002.56 and 184,301.84

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Solution

The fourth proportional to 327,541.88, 452,002.56 and 184,301.84 is: 254,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,541.88 : 452,002.56 = 184,301.84 : x
  2. Step 2: Convert to fraction form
    327,541.88/452,002.56 = 184,301.84/x
  3. Step 3: Cross multiply
    327,541.88x = 452,002.56 × 184,301.84
  4. Step 4: Simplify right side
    327,541.88x = 83,304,903,492.71
  5. Step 5: Solve for x
    x = 83,304,903,492.71/327,541.88
  6. Step 6: Final answer
    x = 254,333.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.