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Finding the Fourth Proportional to 509,738.08, 703,355.76 and 283,377.76

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Solution

The fourth proportional to 509,738.08, 703,355.76 and 283,377.76 is: 391,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,738.08 : 703,355.76 = 283,377.76 : x
  2. Step 2: Convert to fraction form
    509,738.08/703,355.76 = 283,377.76/x
  3. Step 3: Cross multiply
    509,738.08x = 703,355.76 × 283,377.76
  4. Step 4: Simplify right side
    509,738.08x = 199,315,379,751.90
  5. Step 5: Solve for x
    x = 199,315,379,751.90/509,738.08
  6. Step 6: Final answer
    x = 391,015.28

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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.