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Finding the Fourth Proportional to 500,570.64, 690,837.03 and 285,743.01

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Solution

The fourth proportional to 500,570.64, 690,837.03 and 285,743.01 is: 394,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,570.64 : 690,837.03 = 285,743.01 : x
  2. Step 2: Convert to fraction form
    500,570.64/690,837.03 = 285,743.01/x
  3. Step 3: Cross multiply
    500,570.64x = 690,837.03 × 285,743.01
  4. Step 4: Simplify right side
    500,570.64x = 197,401,852,371.66
  5. Step 5: Solve for x
    x = 197,401,852,371.66/500,570.64
  6. Step 6: Final answer
    x = 394,353.64

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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.