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Finding the Fourth Proportional to 313,914.34, 467,914.33 and 288,720.10

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Solution

The fourth proportional to 313,914.34, 467,914.33 and 288,720.10 is: 430,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,914.34 : 467,914.33 = 288,720.10 : x
  2. Step 2: Convert to fraction form
    313,914.34/467,914.33 = 288,720.10/x
  3. Step 3: Cross multiply
    313,914.34x = 467,914.33 × 288,720.10
  4. Step 4: Simplify right side
    313,914.34x = 135,096,272,149.03
  5. Step 5: Solve for x
    x = 135,096,272,149.03/313,914.34
  6. Step 6: Final answer
    x = 430,360.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.