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Finding the Fourth Proportional to 416,004.80, 624,007.20 and 179,808.80

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Solution

The fourth proportional to 416,004.80, 624,007.20 and 179,808.80 is: 269,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,004.80 : 624,007.20 = 179,808.80 : x
  2. Step 2: Convert to fraction form
    416,004.80/624,007.20 = 179,808.80/x
  3. Step 3: Cross multiply
    416,004.80x = 624,007.20 × 179,808.80
  4. Step 4: Simplify right side
    416,004.80x = 112,201,985,823.36
  5. Step 5: Solve for x
    x = 112,201,985,823.36/416,004.80
  6. Step 6: Final answer
    x = 269,713.20

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1.5x scale

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.