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Finding the Fourth Proportional to 256,448.37, 384,328.68 and 199,590.94

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Solution

The fourth proportional to 256,448.37, 384,328.68 and 199,590.94 is: 299,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,448.37 : 384,328.68 = 199,590.94 : x
  2. Step 2: Convert to fraction form
    256,448.37/384,328.68 = 199,590.94/x
  3. Step 3: Cross multiply
    256,448.37x = 384,328.68 × 199,590.94
  4. Step 4: Simplify right side
    256,448.37x = 76,708,522,510.16
  5. Step 5: Solve for x
    x = 76,708,522,510.16/256,448.37
  6. Step 6: Final answer
    x = 299,118.78

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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.