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Finding the Fourth Proportional to 666,584.64, 1,000,023.84 and 193,289.76

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Solution

The fourth proportional to 666,584.64, 1,000,023.84 and 193,289.76 is: 289,977.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,584.64 : 1,000,023.84 = 193,289.76 : x
  2. Step 2: Convert to fraction form
    666,584.64/1,000,023.84 = 193,289.76/x
  3. Step 3: Cross multiply
    666,584.64x = 1,000,023.84 × 193,289.76
  4. Step 4: Simplify right side
    666,584.64x = 193,294,368,027.88
  5. Step 5: Solve for x
    x = 193,294,368,027.88/666,584.64
  6. Step 6: Final answer
    x = 289,977.23

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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.