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Finding the Fourth Proportional to 533,137.33, 735,610.98 and 306,782.83

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Solution

The fourth proportional to 533,137.33, 735,610.98 and 306,782.83 is: 423,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,137.33 : 735,610.98 = 306,782.83 : x
  2. Step 2: Convert to fraction form
    533,137.33/735,610.98 = 306,782.83/x
  3. Step 3: Cross multiply
    533,137.33x = 735,610.98 × 306,782.83
  4. Step 4: Simplify right side
    533,137.33x = 225,672,818,223.47
  5. Step 5: Solve for x
    x = 225,672,818,223.47/533,137.33
  6. Step 6: Final answer
    x = 423,292.10

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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.