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Finding the Fourth Proportional to 433,816.60, 650,822.10 and 167,553.40

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Solution

The fourth proportional to 433,816.60, 650,822.10 and 167,553.40 is: 251,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,816.60 : 650,822.10 = 167,553.40 : x
  2. Step 2: Convert to fraction form
    433,816.60/650,822.10 = 167,553.40/x
  3. Step 3: Cross multiply
    433,816.60x = 650,822.10 × 167,553.40
  4. Step 4: Simplify right side
    433,816.60x = 109,047,455,650.14
  5. Step 5: Solve for x
    x = 109,047,455,650.14/433,816.60
  6. Step 6: Final answer
    x = 251,367.64

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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.