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Finding the Fourth Proportional to 454,953.40, 682,365.30 and 155,447.80

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Solution

The fourth proportional to 454,953.40, 682,365.30 and 155,447.80 is: 233,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,953.40 : 682,365.30 = 155,447.80 : x
  2. Step 2: Convert to fraction form
    454,953.40/682,365.30 = 155,447.80/x
  3. Step 3: Cross multiply
    454,953.40x = 682,365.30 × 155,447.80
  4. Step 4: Simplify right side
    454,953.40x = 106,072,184,681.34
  5. Step 5: Solve for x
    x = 106,072,184,681.34/454,953.40
  6. Step 6: Final answer
    x = 233,149.56

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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.