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Finding the Fourth Proportional to 467,572.80, 700,840.80 and 257,361.60

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Solution

The fourth proportional to 467,572.80, 700,840.80 and 257,361.60 is: 385,757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,572.80 : 700,840.80 = 257,361.60 : x
  2. Step 2: Convert to fraction form
    467,572.80/700,840.80 = 257,361.60/x
  3. Step 3: Cross multiply
    467,572.80x = 700,840.80 × 257,361.60
  4. Step 4: Simplify right side
    467,572.80x = 180,369,509,633.28
  5. Step 5: Solve for x
    x = 180,369,509,633.28/467,572.80
  6. Step 6: Final answer
    x = 385,757.06

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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.