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Finding the Fourth Proportional to 303,945.60, 455,262.30 and 197,657.40

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Solution

The fourth proportional to 303,945.60, 455,262.30 and 197,657.40 is: 296,059.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,945.60 : 455,262.30 = 197,657.40 : x
  2. Step 2: Convert to fraction form
    303,945.60/455,262.30 = 197,657.40/x
  3. Step 3: Cross multiply
    303,945.60x = 455,262.30 × 197,657.40
  4. Step 4: Simplify right side
    303,945.60x = 89,985,962,536.02
  5. Step 5: Solve for x
    x = 89,985,962,536.02/303,945.60
  6. Step 6: Final answer
    x = 296,059.43

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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.