Home / 410,199.24-614,474.67-204,413.16

Finding the Fourth Proportional to 410,199.24, 614,474.67 and 204,413.16

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Solution

The fourth proportional to 410,199.24, 614,474.67 and 204,413.16 is: 306,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,199.24 : 614,474.67 = 204,413.16 : x
  2. Step 2: Convert to fraction form
    410,199.24/614,474.67 = 204,413.16/x
  3. Step 3: Cross multiply
    410,199.24x = 614,474.67 × 204,413.16
  4. Step 4: Simplify right side
    410,199.24x = 125,606,709,034.66
  5. Step 5: Solve for x
    x = 125,606,709,034.66/410,199.24
  6. Step 6: Final answer
    x = 306,209.02

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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.