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Finding the Fourth Proportional to 416,413.72, 574,655.52 and 225,431.20

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Solution

The fourth proportional to 416,413.72, 574,655.52 and 225,431.20 is: 311,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,413.72 : 574,655.52 = 225,431.20 : x
  2. Step 2: Convert to fraction form
    416,413.72/574,655.52 = 225,431.20/x
  3. Step 3: Cross multiply
    416,413.72x = 574,655.52 × 225,431.20
  4. Step 4: Simplify right side
    416,413.72x = 129,545,283,460.22
  5. Step 5: Solve for x
    x = 129,545,283,460.22/416,413.72
  6. Step 6: Final answer
    x = 311,097.54

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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.