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Finding the Fourth Proportional to 416,570.80, 624,710.40 and 216,824.80

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Solution

The fourth proportional to 416,570.80, 624,710.40 and 216,824.80 is: 325,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,570.80 : 624,710.40 = 216,824.80 : x
  2. Step 2: Convert to fraction form
    416,570.80/624,710.40 = 216,824.80/x
  3. Step 3: Cross multiply
    416,570.80x = 624,710.40 × 216,824.80
  4. Step 4: Simplify right side
    416,570.80x = 135,452,707,537.92
  5. Step 5: Solve for x
    x = 135,452,707,537.92/416,570.80
  6. Step 6: Final answer
    x = 325,161.31

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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.