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Finding the Fourth Proportional to 437,684.10, 656,583.50 and 171,410.01

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Solution

The fourth proportional to 437,684.10, 656,583.50 and 171,410.01 is: 257,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,684.10 : 656,583.50 = 171,410.01 : x
  2. Step 2: Convert to fraction form
    437,684.10/656,583.50 = 171,410.01/x
  3. Step 3: Cross multiply
    437,684.10x = 656,583.50 × 171,410.01
  4. Step 4: Simplify right side
    437,684.10x = 112,544,984,300.84
  5. Step 5: Solve for x
    x = 112,544,984,300.84/437,684.10
  6. Step 6: Final answer
    x = 257,137.47

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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.