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Finding the Fourth Proportional to 533,382.01, 735,438.24 and 431,091.16

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Solution

The fourth proportional to 533,382.01, 735,438.24 and 431,091.16 is: 594,397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,382.01 : 735,438.24 = 431,091.16 : x
  2. Step 2: Convert to fraction form
    533,382.01/735,438.24 = 431,091.16/x
  3. Step 3: Cross multiply
    533,382.01x = 735,438.24 × 431,091.16
  4. Step 4: Simplify right side
    533,382.01x = 317,040,922,151.36
  5. Step 5: Solve for x
    x = 317,040,922,151.36/533,382.01
  6. Step 6: Final answer
    x = 594,397.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.