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Finding the Fourth Proportional to 428,904.40, 643,241.40 and 179,534.80

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Solution

The fourth proportional to 428,904.40, 643,241.40 and 179,534.80 is: 269,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,904.40 : 643,241.40 = 179,534.80 : x
  2. Step 2: Convert to fraction form
    428,904.40/643,241.40 = 179,534.80/x
  3. Step 3: Cross multiply
    428,904.40x = 643,241.40 × 179,534.80
  4. Step 4: Simplify right side
    428,904.40x = 115,484,216,100.72
  5. Step 5: Solve for x
    x = 115,484,216,100.72/428,904.40
  6. Step 6: Final answer
    x = 269,253.98

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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.