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Finding the Fourth Proportional to 490,031.44, 735,074.87 and 174,488.38

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Solution

The fourth proportional to 490,031.44, 735,074.87 and 174,488.38 is: 261,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,031.44 : 735,074.87 = 174,488.38 : x
  2. Step 2: Convert to fraction form
    490,031.44/735,074.87 = 174,488.38/x
  3. Step 3: Cross multiply
    490,031.44x = 735,074.87 × 174,488.38
  4. Step 4: Simplify right side
    490,031.44x = 128,262,020,534.88
  5. Step 5: Solve for x
    x = 128,262,020,534.88/490,031.44
  6. Step 6: Final answer
    x = 261,742.43

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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.