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Finding the Fourth Proportional to 427,576.40, 590,015.25 and 289,474.40

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Solution

The fourth proportional to 427,576.40, 590,015.25 and 289,474.40 is: 399,447.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,576.40 : 590,015.25 = 289,474.40 : x
  2. Step 2: Convert to fraction form
    427,576.40/590,015.25 = 289,474.40/x
  3. Step 3: Cross multiply
    427,576.40x = 590,015.25 × 289,474.40
  4. Step 4: Simplify right side
    427,576.40x = 170,794,306,087.15
  5. Step 5: Solve for x
    x = 170,794,306,087.15/427,576.40
  6. Step 6: Final answer
    x = 399,447.46

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1.5x scale

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.