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Finding the Fourth Proportional to 461,556.75, 692,644.39 and 162,038.22

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Solution

The fourth proportional to 461,556.75, 692,644.39 and 162,038.22 is: 243,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,556.75 : 692,644.39 = 162,038.22 : x
  2. Step 2: Convert to fraction form
    461,556.75/692,644.39 = 162,038.22/x
  3. Step 3: Cross multiply
    461,556.75x = 692,644.39 × 162,038.22
  4. Step 4: Simplify right side
    461,556.75x = 112,234,864,942.20
  5. Step 5: Solve for x
    x = 112,234,864,942.20/461,556.75
  6. Step 6: Final answer
    x = 243,165.90

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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.