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Finding the Fourth Proportional to 417,004.80, 625,814.40 and 167,865.60

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Solution

The fourth proportional to 417,004.80, 625,814.40 and 167,865.60 is: 251,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,004.80 : 625,814.40 = 167,865.60 : x
  2. Step 2: Convert to fraction form
    417,004.80/625,814.40 = 167,865.60/x
  3. Step 3: Cross multiply
    417,004.80x = 625,814.40 × 167,865.60
  4. Step 4: Simplify right side
    417,004.80x = 105,052,709,744.64
  5. Step 5: Solve for x
    x = 105,052,709,744.64/417,004.80
  6. Step 6: Final answer
    x = 251,922.06

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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.