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Finding the Fourth Proportional to 407,092.30, 610,640.02 and 170,268.86

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Solution

The fourth proportional to 407,092.30, 610,640.02 and 170,268.86 is: 255,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,092.30 : 610,640.02 = 170,268.86 : x
  2. Step 2: Convert to fraction form
    407,092.30/610,640.02 = 170,268.86/x
  3. Step 3: Cross multiply
    407,092.30x = 610,640.02 × 170,268.86
  4. Step 4: Simplify right side
    407,092.30x = 103,972,980,075.78
  5. Step 5: Solve for x
    x = 103,972,980,075.78/407,092.30
  6. Step 6: Final answer
    x = 255,403.95

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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.