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Finding the Fourth Proportional to 329,301.84, 494,177.12 and 151,810.32

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Solution

The fourth proportional to 329,301.84, 494,177.12 and 151,810.32 is: 227,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,301.84 : 494,177.12 = 151,810.32 : x
  2. Step 2: Convert to fraction form
    329,301.84/494,177.12 = 151,810.32/x
  3. Step 3: Cross multiply
    329,301.84x = 494,177.12 × 151,810.32
  4. Step 4: Simplify right side
    329,301.84x = 75,021,186,723.88
  5. Step 5: Solve for x
    x = 75,021,186,723.88/329,301.84
  6. Step 6: Final answer
    x = 227,818.91

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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.