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Finding the Fourth Proportional to 521,857.10, 782,538.90 and 202,158.72

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Solution

The fourth proportional to 521,857.10, 782,538.90 and 202,158.72 is: 303,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,857.10 : 782,538.90 = 202,158.72 : x
  2. Step 2: Convert to fraction form
    521,857.10/782,538.90 = 202,158.72/x
  3. Step 3: Cross multiply
    521,857.10x = 782,538.90 × 202,158.72
  4. Step 4: Simplify right side
    521,857.10x = 158,197,062,374.21
  5. Step 5: Solve for x
    x = 158,197,062,374.21/521,857.10
  6. Step 6: Final answer
    x = 303,142.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.