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Finding the Fourth Proportional to 413,636.87, 620,491.05 and 114,117.45

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Solution

The fourth proportional to 413,636.87, 620,491.05 and 114,117.45 is: 171,186.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,636.87 : 620,491.05 = 114,117.45 : x
  2. Step 2: Convert to fraction form
    413,636.87/620,491.05 = 114,117.45/x
  3. Step 3: Cross multiply
    413,636.87x = 620,491.05 × 114,117.45
  4. Step 4: Simplify right side
    413,636.87x = 70,808,858,272.72
  5. Step 5: Solve for x
    x = 70,808,858,272.72/413,636.87
  6. Step 6: Final answer
    x = 171,186.04

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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.