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Finding the Fourth Proportional to 463,529.76, 639,735.87 and 334,884.57

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Solution

The fourth proportional to 463,529.76, 639,735.87 and 334,884.57 is: 462,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,529.76 : 639,735.87 = 334,884.57 : x
  2. Step 2: Convert to fraction form
    463,529.76/639,735.87 = 334,884.57/x
  3. Step 3: Cross multiply
    463,529.76x = 639,735.87 × 334,884.57
  4. Step 4: Simplify right side
    463,529.76x = 214,237,671,738.53
  5. Step 5: Solve for x
    x = 214,237,671,738.53/463,529.76
  6. Step 6: Final answer
    x = 462,187.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.