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Finding the Fourth Proportional to 533,569.77, 799,999.13 and 293,796.58

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Solution

The fourth proportional to 533,569.77, 799,999.13 and 293,796.58 is: 440,499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,569.77 : 799,999.13 = 293,796.58 : x
  2. Step 2: Convert to fraction form
    533,569.77/799,999.13 = 293,796.58/x
  3. Step 3: Cross multiply
    533,569.77x = 799,999.13 × 293,796.58
  4. Step 4: Simplify right side
    533,569.77x = 235,037,008,396.98
  5. Step 5: Solve for x
    x = 235,037,008,396.98/533,569.77
  6. Step 6: Final answer
    x = 440,499.11

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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.