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Finding the Fourth Proportional to 437,534.80, 656,302.20 and 295,817.20

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Solution

The fourth proportional to 437,534.80, 656,302.20 and 295,817.20 is: 443,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,534.80 : 656,302.20 = 295,817.20 : x
  2. Step 2: Convert to fraction form
    437,534.80/656,302.20 = 295,817.20/x
  3. Step 3: Cross multiply
    437,534.80x = 656,302.20 × 295,817.20
  4. Step 4: Simplify right side
    437,534.80x = 194,145,479,157.84
  5. Step 5: Solve for x
    x = 194,145,479,157.84/437,534.80
  6. Step 6: Final answer
    x = 443,725.80

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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.