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Finding the Fourth Proportional to 296,007.24, 408,483.90 and 161,871.24

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Solution

The fourth proportional to 296,007.24, 408,483.90 and 161,871.24 is: 223,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,007.24 : 408,483.90 = 161,871.24 : x
  2. Step 2: Convert to fraction form
    296,007.24/408,483.90 = 161,871.24/x
  3. Step 3: Cross multiply
    296,007.24x = 408,483.90 × 161,871.24
  4. Step 4: Simplify right side
    296,007.24x = 66,121,795,413.04
  5. Step 5: Solve for x
    x = 66,121,795,413.04/296,007.24
  6. Step 6: Final answer
    x = 223,378.98

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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.