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Finding the Fourth Proportional to 461,658.80, 692,315.40 and 162,023.60

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Solution

The fourth proportional to 461,658.80, 692,315.40 and 162,023.60 is: 242,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,658.80 : 692,315.40 = 162,023.60 : x
  2. Step 2: Convert to fraction form
    461,658.80/692,315.40 = 162,023.60/x
  3. Step 3: Cross multiply
    461,658.80x = 692,315.40 × 162,023.60
  4. Step 4: Simplify right side
    461,658.80x = 112,171,433,443.44
  5. Step 5: Solve for x
    x = 112,171,433,443.44/461,658.80
  6. Step 6: Final answer
    x = 242,974.75

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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.