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Finding the Fourth Proportional to 437,546.60, 656,392.80 and 171,315.80

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Solution

The fourth proportional to 437,546.60, 656,392.80 and 171,315.80 is: 257,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,546.60 : 656,392.80 = 171,315.80 : x
  2. Step 2: Convert to fraction form
    437,546.60/656,392.80 = 171,315.80/x
  3. Step 3: Cross multiply
    437,546.60x = 656,392.80 × 171,315.80
  4. Step 4: Simplify right side
    437,546.60x = 112,450,457,646.24
  5. Step 5: Solve for x
    x = 112,450,457,646.24/437,546.60
  6. Step 6: Final answer
    x = 257,002.24

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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.