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Finding the Fourth Proportional to 256,590.37, 385,234.61 and 144,349.58

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Solution

The fourth proportional to 256,590.37, 385,234.61 and 144,349.58 is: 216,720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,590.37 : 385,234.61 = 144,349.58 : x
  2. Step 2: Convert to fraction form
    256,590.37/385,234.61 = 144,349.58/x
  3. Step 3: Cross multiply
    256,590.37x = 385,234.61 × 144,349.58
  4. Step 4: Simplify right side
    256,590.37x = 55,608,454,396.30
  5. Step 5: Solve for x
    x = 55,608,454,396.30/256,590.37
  6. Step 6: Final answer
    x = 216,720.74

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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.