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Finding the Fourth Proportional to 417,932.46, 626,898.69 and 168,439.50

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Solution

The fourth proportional to 417,932.46, 626,898.69 and 168,439.50 is: 252,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,932.46 : 626,898.69 = 168,439.50 : x
  2. Step 2: Convert to fraction form
    417,932.46/626,898.69 = 168,439.50/x
  3. Step 3: Cross multiply
    417,932.46x = 626,898.69 × 168,439.50
  4. Step 4: Simplify right side
    417,932.46x = 105,594,501,894.26
  5. Step 5: Solve for x
    x = 105,594,501,894.26/417,932.46
  6. Step 6: Final answer
    x = 252,659.25

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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.