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Finding the Fourth Proportional to 408,629.94, 563,986.98 and 255,739.20

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Solution

The fourth proportional to 408,629.94, 563,986.98 and 255,739.20 is: 352,968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,629.94 : 563,986.98 = 255,739.20 : x
  2. Step 2: Convert to fraction form
    408,629.94/563,986.98 = 255,739.20/x
  3. Step 3: Cross multiply
    408,629.94x = 563,986.98 × 255,739.20
  4. Step 4: Simplify right side
    408,629.94x = 144,233,579,075.62
  5. Step 5: Solve for x
    x = 144,233,579,075.62/408,629.94
  6. Step 6: Final answer
    x = 352,968.70

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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.