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Finding the Fourth Proportional to 461,704.10, 692,662.84 and 146,161.01

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Solution

The fourth proportional to 461,704.10, 692,662.84 and 146,161.01 is: 219,275.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,704.10 : 692,662.84 = 146,161.01 : x
  2. Step 2: Convert to fraction form
    461,704.10/692,662.84 = 146,161.01/x
  3. Step 3: Cross multiply
    461,704.10x = 692,662.84 × 146,161.01
  4. Step 4: Simplify right side
    461,704.10x = 101,240,298,576.05
  5. Step 5: Solve for x
    x = 101,240,298,576.05/461,704.10
  6. Step 6: Final answer
    x = 219,275.29

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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.