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Finding the Fourth Proportional to 471,413.94, 650,538.77 and 256,549.39

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Solution

The fourth proportional to 471,413.94, 650,538.77 and 256,549.39 is: 354,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,413.94 : 650,538.77 = 256,549.39 : x
  2. Step 2: Convert to fraction form
    471,413.94/650,538.77 = 256,549.39/x
  3. Step 3: Cross multiply
    471,413.94x = 650,538.77 × 256,549.39
  4. Step 4: Simplify right side
    471,413.94x = 166,895,324,614.85
  5. Step 5: Solve for x
    x = 166,895,324,614.85/471,413.94
  6. Step 6: Final answer
    x = 354,031.37

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1.5x scale

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.