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Finding the Fourth Proportional to 312,318.57, 468,664.50 and 286,909.05

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Solution

The fourth proportional to 312,318.57, 468,664.50 and 286,909.05 is: 430,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,318.57 : 468,664.50 = 286,909.05 : x
  2. Step 2: Convert to fraction form
    312,318.57/468,664.50 = 286,909.05/x
  3. Step 3: Cross multiply
    312,318.57x = 468,664.50 × 286,909.05
  4. Step 4: Simplify right side
    312,318.57x = 134,464,086,463.73
  5. Step 5: Solve for x
    x = 134,464,086,463.73/312,318.57
  6. Step 6: Final answer
    x = 430,535.03

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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.