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Finding the Fourth Proportional to 286,872.80, 430,163.40 and 168,580.40

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Solution

The fourth proportional to 286,872.80, 430,163.40 and 168,580.40 is: 252,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,872.80 : 430,163.40 = 168,580.40 : x
  2. Step 2: Convert to fraction form
    286,872.80/430,163.40 = 168,580.40/x
  3. Step 3: Cross multiply
    286,872.80x = 430,163.40 × 168,580.40
  4. Step 4: Simplify right side
    286,872.80x = 72,517,118,037.36
  5. Step 5: Solve for x
    x = 72,517,118,037.36/286,872.80
  6. Step 6: Final answer
    x = 252,784.92

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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.