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Finding the Fourth Proportional to 354,467.60, 531,701.40 and 195,035.30

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Solution

The fourth proportional to 354,467.60, 531,701.40 and 195,035.30 is: 292,552.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,467.60 : 531,701.40 = 195,035.30 : x
  2. Step 2: Convert to fraction form
    354,467.60/531,701.40 = 195,035.30/x
  3. Step 3: Cross multiply
    354,467.60x = 531,701.40 × 195,035.30
  4. Step 4: Simplify right side
    354,467.60x = 103,700,542,059.42
  5. Step 5: Solve for x
    x = 103,700,542,059.42/354,467.60
  6. Step 6: Final answer
    x = 292,552.95

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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.