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Finding the Fourth Proportional to 416,965.94, 575,413.98 and 225,979.28

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Solution

The fourth proportional to 416,965.94, 575,413.98 and 225,979.28 is: 311,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,965.94 : 575,413.98 = 225,979.28 : x
  2. Step 2: Convert to fraction form
    416,965.94/575,413.98 = 225,979.28/x
  3. Step 3: Cross multiply
    416,965.94x = 575,413.98 × 225,979.28
  4. Step 4: Simplify right side
    416,965.94x = 130,031,634,025.27
  5. Step 5: Solve for x
    x = 130,031,634,025.27/416,965.94
  6. Step 6: Final answer
    x = 311,851.94

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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.