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Finding the Fourth Proportional to 493,129.60, 739,718.70 and 256,933.60

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Solution

The fourth proportional to 493,129.60, 739,718.70 and 256,933.60 is: 385,413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,129.60 : 739,718.70 = 256,933.60 : x
  2. Step 2: Convert to fraction form
    493,129.60/739,718.70 = 256,933.60/x
  3. Step 3: Cross multiply
    493,129.60x = 739,718.70 × 256,933.60
  4. Step 4: Simplify right side
    493,129.60x = 190,058,588,578.32
  5. Step 5: Solve for x
    x = 190,058,588,578.32/493,129.60
  6. Step 6: Final answer
    x = 385,413.06

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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.