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Finding the Fourth Proportional to 296,653.70, 445,078.96 and 119,069.30

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Solution

The fourth proportional to 296,653.70, 445,078.96 and 119,069.30 is: 178,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,653.70 : 445,078.96 = 119,069.30 : x
  2. Step 2: Convert to fraction form
    296,653.70/445,078.96 = 119,069.30/x
  3. Step 3: Cross multiply
    296,653.70x = 445,078.96 × 119,069.30
  4. Step 4: Simplify right side
    296,653.70x = 52,995,240,211.93
  5. Step 5: Solve for x
    x = 52,995,240,211.93/296,653.70
  6. Step 6: Final answer
    x = 178,643.45

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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.