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Finding the Fourth Proportional to 330,899.96, 495,097.40 and 196,036.44

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Solution

The fourth proportional to 330,899.96, 495,097.40 and 196,036.44 is: 293,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,899.96 : 495,097.40 = 196,036.44 : x
  2. Step 2: Convert to fraction form
    330,899.96/495,097.40 = 196,036.44/x
  3. Step 3: Cross multiply
    330,899.96x = 495,097.40 × 196,036.44
  4. Step 4: Simplify right side
    330,899.96x = 97,057,130,382.73
  5. Step 5: Solve for x
    x = 97,057,130,382.73/330,899.96
  6. Step 6: Final answer
    x = 293,312.61

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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.