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Finding the Fourth Proportional to 313,788.61, 467,361.10 and 312,259.33

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Solution

The fourth proportional to 313,788.61, 467,361.10 and 312,259.33 is: 465,083.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,788.61 : 467,361.10 = 312,259.33 : x
  2. Step 2: Convert to fraction form
    313,788.61/467,361.10 = 312,259.33/x
  3. Step 3: Cross multiply
    313,788.61x = 467,361.10 × 312,259.33
  4. Step 4: Simplify right side
    313,788.61x = 145,937,863,954.06
  5. Step 5: Solve for x
    x = 145,937,863,954.06/313,788.61
  6. Step 6: Final answer
    x = 465,083.37

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Why These Related Problems?

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