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Finding the Fourth Proportional to 416,965.69, 575,413.64 and 225,979.03

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Solution

The fourth proportional to 416,965.69, 575,413.64 and 225,979.03 is: 311,851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,965.69 : 575,413.64 = 225,979.03 : x
  2. Step 2: Convert to fraction form
    416,965.69/575,413.64 = 225,979.03/x
  3. Step 3: Cross multiply
    416,965.69x = 575,413.64 × 225,979.03
  4. Step 4: Simplify right side
    416,965.69x = 130,031,412,209.01
  5. Step 5: Solve for x
    x = 130,031,412,209.01/416,965.69
  6. Step 6: Final answer
    x = 311,851.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.