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Finding the Fourth Proportional to 471,413.95, 650,538.76 and 256,549.39

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Solution

The fourth proportional to 471,413.95, 650,538.76 and 256,549.39 is: 354,031.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,413.95 : 650,538.76 = 256,549.39 : x
  2. Step 2: Convert to fraction form
    471,413.95/650,538.76 = 256,549.39/x
  3. Step 3: Cross multiply
    471,413.95x = 650,538.76 × 256,549.39
  4. Step 4: Simplify right side
    471,413.95x = 166,895,322,049.36
  5. Step 5: Solve for x
    x = 166,895,322,049.36/471,413.95
  6. Step 6: Final answer
    x = 354,031.36

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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.