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Finding the Fourth Proportional to 341,598.11, 511,708.23 and 285,993.63

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Solution

The fourth proportional to 341,598.11, 511,708.23 and 285,993.63 is: 428,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,598.11 : 511,708.23 = 285,993.63 : x
  2. Step 2: Convert to fraction form
    341,598.11/511,708.23 = 285,993.63/x
  3. Step 3: Cross multiply
    341,598.11x = 511,708.23 × 285,993.63
  4. Step 4: Simplify right side
    341,598.11x = 146,345,294,198.58
  5. Step 5: Solve for x
    x = 146,345,294,198.58/341,598.11
  6. Step 6: Final answer
    x = 428,413.66

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1.5x scale

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.