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Finding the Fourth Proportional to 329,886.36, 494,447.04 and 152,019.72

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Solution

The fourth proportional to 329,886.36, 494,447.04 and 152,019.72 is: 227,853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,886.36 : 494,447.04 = 152,019.72 : x
  2. Step 2: Convert to fraction form
    329,886.36/494,447.04 = 152,019.72/x
  3. Step 3: Cross multiply
    329,886.36x = 494,447.04 × 152,019.72
  4. Step 4: Simplify right side
    329,886.36x = 75,165,700,575.63
  5. Step 5: Solve for x
    x = 75,165,700,575.63/329,886.36
  6. Step 6: Final answer
    x = 227,853.31

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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.