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Finding the Fourth Proportional to 317,684.18, 476,453.64 and 189,636.50

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Solution

The fourth proportional to 317,684.18, 476,453.64 and 189,636.50 is: 284,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,684.18 : 476,453.64 = 189,636.50 : x
  2. Step 2: Convert to fraction form
    317,684.18/476,453.64 = 189,636.50/x
  3. Step 3: Cross multiply
    317,684.18x = 476,453.64 × 189,636.50
  4. Step 4: Simplify right side
    317,684.18x = 90,353,000,701.86
  5. Step 5: Solve for x
    x = 90,353,000,701.86/317,684.18
  6. Step 6: Final answer
    x = 284,411.39

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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.