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Finding the Fourth Proportional to 524,999.64, 787,149.54 and 255,055.80

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Solution

The fourth proportional to 524,999.64, 787,149.54 and 255,055.80 is: 382,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,999.64 : 787,149.54 = 255,055.80 : x
  2. Step 2: Convert to fraction form
    524,999.64/787,149.54 = 255,055.80/x
  3. Step 3: Cross multiply
    524,999.64x = 787,149.54 × 255,055.80
  4. Step 4: Simplify right side
    524,999.64x = 200,767,055,644.33
  5. Step 5: Solve for x
    x = 200,767,055,644.33/524,999.64
  6. Step 6: Final answer
    x = 382,413.70

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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.