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Finding the Fourth Proportional to 407,093.30, 610,641.52 and 170,269.86

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Solution

The fourth proportional to 407,093.30, 610,641.52 and 170,269.86 is: 255,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,093.30 : 610,641.52 = 170,269.86 : x
  2. Step 2: Convert to fraction form
    407,093.30/610,641.52 = 170,269.86/x
  3. Step 3: Cross multiply
    407,093.30x = 610,641.52 × 170,269.86
  4. Step 4: Simplify right side
    407,093.30x = 103,973,846,120.59
  5. Step 5: Solve for x
    x = 103,973,846,120.59/407,093.30
  6. Step 6: Final answer
    x = 255,405.45

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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.