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Finding the Fourth Proportional to 461,773.27, 692,763.78 and 162,274.55

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Solution

The fourth proportional to 461,773.27, 692,763.78 and 162,274.55 is: 243,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,773.27 : 692,763.78 = 162,274.55 : x
  2. Step 2: Convert to fraction form
    461,773.27/692,763.78 = 162,274.55/x
  3. Step 3: Cross multiply
    461,773.27x = 692,763.78 × 162,274.55
  4. Step 4: Simplify right side
    461,773.27x = 112,417,930,655.80
  5. Step 5: Solve for x
    x = 112,417,930,655.80/461,773.27
  6. Step 6: Final answer
    x = 243,448.33

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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.