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Finding the Fourth Proportional to 437,907.60, 656,880.84 and 171,644.40

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Solution

The fourth proportional to 437,907.60, 656,880.84 and 171,644.40 is: 257,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,907.60 : 656,880.84 = 171,644.40 : x
  2. Step 2: Convert to fraction form
    437,907.60/656,880.84 = 171,644.40/x
  3. Step 3: Cross multiply
    437,907.60x = 656,880.84 × 171,644.40
  4. Step 4: Simplify right side
    437,907.60x = 112,749,917,653.30
  5. Step 5: Solve for x
    x = 112,749,917,653.30/437,907.60
  6. Step 6: Final answer
    x = 257,474.22

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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.