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Finding the Fourth Proportional to 264,644.64, 397,011.12 and 122,632.20

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Solution

The fourth proportional to 264,644.64, 397,011.12 and 122,632.20 is: 183,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,644.64 : 397,011.12 = 122,632.20 : x
  2. Step 2: Convert to fraction form
    264,644.64/397,011.12 = 122,632.20/x
  3. Step 3: Cross multiply
    264,644.64x = 397,011.12 × 122,632.20
  4. Step 4: Simplify right side
    264,644.64x = 48,686,347,070.06
  5. Step 5: Solve for x
    x = 48,686,347,070.06/264,644.64
  6. Step 6: Final answer
    x = 183,968.76

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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.