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Finding the Fourth Proportional to 296,716, 445,144 and 97,035.60

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Solution

The fourth proportional to 296,716, 445,144 and 97,035.60 is: 145,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,716 : 445,144 = 97,035.60 : x
  2. Step 2: Convert to fraction form
    296,716/445,144 = 97,035.60/x
  3. Step 3: Cross multiply
    296,716x = 445,144 × 97,035.60
  4. Step 4: Simplify right side
    296,716x = 43,194,815,126.40
  5. Step 5: Solve for x
    x = 43,194,815,126.40/296,716
  6. Step 6: Final answer
    x = 145,576.29

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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.