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Finding the Fourth Proportional to 452,474.56, 678,099.48 and 171,838.72

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Solution

The fourth proportional to 452,474.56, 678,099.48 and 171,838.72 is: 257,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,474.56 : 678,099.48 = 171,838.72 : x
  2. Step 2: Convert to fraction form
    452,474.56/678,099.48 = 171,838.72/x
  3. Step 3: Cross multiply
    452,474.56x = 678,099.48 × 171,838.72
  4. Step 4: Simplify right side
    452,474.56x = 116,523,746,675.87
  5. Step 5: Solve for x
    x = 116,523,746,675.87/452,474.56
  6. Step 6: Final answer
    x = 257,525.52

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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.