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Finding the Fourth Proportional to 533,203.02, 735,825.06 and 291,481.20

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Solution

The fourth proportional to 533,203.02, 735,825.06 and 291,481.20 is: 402,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,203.02 : 735,825.06 = 291,481.20 : x
  2. Step 2: Convert to fraction form
    533,203.02/735,825.06 = 291,481.20/x
  3. Step 3: Cross multiply
    533,203.02x = 735,825.06 × 291,481.20
  4. Step 4: Simplify right side
    533,203.02x = 214,479,171,478.87
  5. Step 5: Solve for x
    x = 214,479,171,478.87/533,203.02
  6. Step 6: Final answer
    x = 402,246.73

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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.