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Finding the Fourth Proportional to 533,049.14, 735,371.32 and 318,064.31

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Solution

The fourth proportional to 533,049.14, 735,371.32 and 318,064.31 is: 438,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,049.14 : 735,371.32 = 318,064.31 : x
  2. Step 2: Convert to fraction form
    533,049.14/735,371.32 = 318,064.31/x
  3. Step 3: Cross multiply
    533,049.14x = 735,371.32 × 318,064.31
  4. Step 4: Simplify right side
    533,049.14x = 233,895,371,489.59
  5. Step 5: Solve for x
    x = 233,895,371,489.59/533,049.14
  6. Step 6: Final answer
    x = 438,787.64

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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.