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Finding the Fourth Proportional to 296,096.40, 444,045.15 and 96,369.82

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Solution

The fourth proportional to 296,096.40, 444,045.15 and 96,369.82 is: 144,522.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,096.40 : 444,045.15 = 96,369.82 : x
  2. Step 2: Convert to fraction form
    296,096.40/444,045.15 = 96,369.82/x
  3. Step 3: Cross multiply
    296,096.40x = 444,045.15 × 96,369.82
  4. Step 4: Simplify right side
    296,096.40x = 42,792,550,202.78
  5. Step 5: Solve for x
    x = 42,792,550,202.78/296,096.40
  6. Step 6: Final answer
    x = 144,522.36

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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.