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Finding the Fourth Proportional to 361,334.36, 541,806.06 and 286,933.16

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Solution

The fourth proportional to 361,334.36, 541,806.06 and 286,933.16 is: 430,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,334.36 : 541,806.06 = 286,933.16 : x
  2. Step 2: Convert to fraction form
    361,334.36/541,806.06 = 286,933.16/x
  3. Step 3: Cross multiply
    361,334.36x = 541,806.06 × 286,933.16
  4. Step 4: Simplify right side
    361,334.36x = 155,462,124,902.95
  5. Step 5: Solve for x
    x = 155,462,124,902.95/361,334.36
  6. Step 6: Final answer
    x = 430,244.51

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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.