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Finding the Fourth Proportional to 513,183.25, 708,214.76 and 286,828.75

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Solution

The fourth proportional to 513,183.25, 708,214.76 and 286,828.75 is: 395,835.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,183.25 : 708,214.76 = 286,828.75 : x
  2. Step 2: Convert to fraction form
    513,183.25/708,214.76 = 286,828.75/x
  3. Step 3: Cross multiply
    513,183.25x = 708,214.76 × 286,828.75
  4. Step 4: Simplify right side
    513,183.25x = 203,136,354,342.35
  5. Step 5: Solve for x
    x = 203,136,354,342.35/513,183.25
  6. Step 6: Final answer
    x = 395,835.90

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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.