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Finding the Fourth Proportional to 312,056.40, 468,084.60 and 264,817.20

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Solution

The fourth proportional to 312,056.40, 468,084.60 and 264,817.20 is: 397,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,056.40 : 468,084.60 = 264,817.20 : x
  2. Step 2: Convert to fraction form
    312,056.40/468,084.60 = 264,817.20/x
  3. Step 3: Cross multiply
    312,056.40x = 468,084.60 × 264,817.20
  4. Step 4: Simplify right side
    312,056.40x = 123,956,853,135.12
  5. Step 5: Solve for x
    x = 123,956,853,135.12/312,056.40
  6. Step 6: Final answer
    x = 397,225.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.