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Finding the Fourth Proportional to 433,084.44, 649,454.58 and 166,697.40

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Solution

The fourth proportional to 433,084.44, 649,454.58 and 166,697.40 is: 249,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,084.44 : 649,454.58 = 166,697.40 : x
  2. Step 2: Convert to fraction form
    433,084.44/649,454.58 = 166,697.40/x
  3. Step 3: Cross multiply
    433,084.44x = 649,454.58 × 166,697.40
  4. Step 4: Simplify right side
    433,084.44x = 108,262,389,904.09
  5. Step 5: Solve for x
    x = 108,262,389,904.09/433,084.44
  6. Step 6: Final answer
    x = 249,979.87

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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.