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Finding the Fourth Proportional to 289,483.94, 399,509.98 and 182,145.98

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Solution

The fourth proportional to 289,483.94, 399,509.98 and 182,145.98 is: 251,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,483.94 : 399,509.98 = 182,145.98 : x
  2. Step 2: Convert to fraction form
    289,483.94/399,509.98 = 182,145.98/x
  3. Step 3: Cross multiply
    289,483.94x = 399,509.98 × 182,145.98
  4. Step 4: Simplify right side
    289,483.94x = 72,769,136,826.88
  5. Step 5: Solve for x
    x = 72,769,136,826.88/289,483.94
  6. Step 6: Final answer
    x = 251,375.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.