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Finding the Fourth Proportional to 533,782.80, 800,703.36 and 178,764.66

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Solution

The fourth proportional to 533,782.80, 800,703.36 and 178,764.66 is: 268,156.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,782.80 : 800,703.36 = 178,764.66 : x
  2. Step 2: Convert to fraction form
    533,782.80/800,703.36 = 178,764.66/x
  3. Step 3: Cross multiply
    533,782.80x = 800,703.36 × 178,764.66
  4. Step 4: Simplify right side
    533,782.80x = 143,137,463,911.26
  5. Step 5: Solve for x
    x = 143,137,463,911.26/533,782.80
  6. Step 6: Final answer
    x = 268,156.76

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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.