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Finding the Fourth Proportional to 413,738.68, 620,595.60 and 114,237.52

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Solution

The fourth proportional to 413,738.68, 620,595.60 and 114,237.52 is: 171,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,738.68 : 620,595.60 = 114,237.52 : x
  2. Step 2: Convert to fraction form
    413,738.68/620,595.60 = 114,237.52/x
  3. Step 3: Cross multiply
    413,738.68x = 620,595.60 × 114,237.52
  4. Step 4: Simplify right side
    413,738.68x = 70,895,302,266.91
  5. Step 5: Solve for x
    x = 70,895,302,266.91/413,738.68
  6. Step 6: Final answer
    x = 171,352.85

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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.