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Finding the Fourth Proportional to 330,293.40, 495,440.10 and 197,105.10

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Solution

The fourth proportional to 330,293.40, 495,440.10 and 197,105.10 is: 295,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,293.40 : 495,440.10 = 197,105.10 : x
  2. Step 2: Convert to fraction form
    330,293.40/495,440.10 = 197,105.10/x
  3. Step 3: Cross multiply
    330,293.40x = 495,440.10 × 197,105.10
  4. Step 4: Simplify right side
    330,293.40x = 97,653,770,454.51
  5. Step 5: Solve for x
    x = 97,653,770,454.51/330,293.40
  6. Step 6: Final answer
    x = 295,657.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.