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Finding the Fourth Proportional to 428,875.80, 643,313.70 and 192,679.80

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Solution

The fourth proportional to 428,875.80, 643,313.70 and 192,679.80 is: 289,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,875.80 : 643,313.70 = 192,679.80 : x
  2. Step 2: Convert to fraction form
    428,875.80/643,313.70 = 192,679.80/x
  3. Step 3: Cross multiply
    428,875.80x = 643,313.70 × 192,679.80
  4. Step 4: Simplify right side
    428,875.80x = 123,953,555,053.26
  5. Step 5: Solve for x
    x = 123,953,555,053.26/428,875.80
  6. Step 6: Final answer
    x = 289,019.70

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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.