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Finding the Fourth Proportional to 496,023.85, 684,482.26 and 278,220.55

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Solution

The fourth proportional to 496,023.85, 684,482.26 and 278,220.55 is: 383,927.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,023.85 : 684,482.26 = 278,220.55 : x
  2. Step 2: Convert to fraction form
    496,023.85/684,482.26 = 278,220.55/x
  3. Step 3: Cross multiply
    496,023.85x = 684,482.26 × 278,220.55
  4. Step 4: Simplify right side
    496,023.85x = 190,437,030,842.44
  5. Step 5: Solve for x
    x = 190,437,030,842.44/496,023.85
  6. Step 6: Final answer
    x = 383,927.17

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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.