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Finding the Fourth Proportional to 412,311.29, 617,756.88 and 322,319

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Solution

The fourth proportional to 412,311.29, 617,756.88 and 322,319 is: 482,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,311.29 : 617,756.88 = 322,319 : x
  2. Step 2: Convert to fraction form
    412,311.29/617,756.88 = 322,319/x
  3. Step 3: Cross multiply
    412,311.29x = 617,756.88 × 322,319
  4. Step 4: Simplify right side
    412,311.29x = 199,114,779,804.72
  5. Step 5: Solve for x
    x = 199,114,779,804.72/412,311.29
  6. Step 6: Final answer
    x = 482,923.42

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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.