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Finding the Fourth Proportional to 296,855.70, 444,627.45 and 119,271.30

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Solution

The fourth proportional to 296,855.70, 444,627.45 and 119,271.30 is: 178,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,855.70 : 444,627.45 = 119,271.30 : x
  2. Step 2: Convert to fraction form
    296,855.70/444,627.45 = 119,271.30/x
  3. Step 3: Cross multiply
    296,855.70x = 444,627.45 × 119,271.30
  4. Step 4: Simplify right side
    296,855.70x = 53,031,293,977.19
  5. Step 5: Solve for x
    x = 53,031,293,977.19/296,855.70
  6. Step 6: Final answer
    x = 178,643.34

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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.