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Finding the Fourth Proportional to 471,197.36, 650,037.48 and 280,102.16

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Solution

The fourth proportional to 471,197.36, 650,037.48 and 280,102.16 is: 386,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,197.36 : 650,037.48 = 280,102.16 : x
  2. Step 2: Convert to fraction form
    471,197.36/650,037.48 = 280,102.16/x
  3. Step 3: Cross multiply
    471,197.36x = 650,037.48 × 280,102.16
  4. Step 4: Simplify right side
    471,197.36x = 182,076,902,228.96
  5. Step 5: Solve for x
    x = 182,076,902,228.96/471,197.36
  6. Step 6: Final answer
    x = 386,413.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.