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Finding the Fourth Proportional to 461,556.57, 692,644.11 and 162,038.04

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Solution

The fourth proportional to 461,556.57, 692,644.11 and 162,038.04 is: 243,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,556.57 : 692,644.11 = 162,038.04 : x
  2. Step 2: Convert to fraction form
    461,556.57/692,644.11 = 162,038.04/x
  3. Step 3: Cross multiply
    461,556.57x = 692,644.11 × 162,038.04
  4. Step 4: Simplify right side
    461,556.57x = 112,234,694,001.94
  5. Step 5: Solve for x
    x = 112,234,694,001.94/461,556.57
  6. Step 6: Final answer
    x = 243,165.63

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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.