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Finding the Fourth Proportional to 471,413.30, 650,537.87 and 256,548.74

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Solution

The fourth proportional to 471,413.30, 650,537.87 and 256,548.74 is: 354,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,413.30 : 650,537.87 = 256,548.74 : x
  2. Step 2: Convert to fraction form
    471,413.30/650,537.87 = 256,548.74/x
  3. Step 3: Cross multiply
    471,413.30x = 650,537.87 × 256,548.74
  4. Step 4: Simplify right side
    471,413.30x = 166,894,666,335.35
  5. Step 5: Solve for x
    x = 166,894,666,335.35/471,413.30
  6. Step 6: Final answer
    x = 354,030.46

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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.