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Finding the Fourth Proportional to 428,058.36, 642,185.93 and 128,544.59

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Solution

The fourth proportional to 428,058.36, 642,185.93 and 128,544.59 is: 192,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,058.36 : 642,185.93 = 128,544.59 : x
  2. Step 2: Convert to fraction form
    428,058.36/642,185.93 = 128,544.59/x
  3. Step 3: Cross multiply
    428,058.36x = 642,185.93 × 128,544.59
  4. Step 4: Simplify right side
    428,058.36x = 82,549,529,002.45
  5. Step 5: Solve for x
    x = 82,549,529,002.45/428,058.36
  6. Step 6: Final answer
    x = 192,846.44

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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.