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Finding the Fourth Proportional to 301,647.72, 452,529.87 and 114,644.64

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Solution

The fourth proportional to 301,647.72, 452,529.87 and 114,644.64 is: 171,989.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,647.72 : 452,529.87 = 114,644.64 : x
  2. Step 2: Convert to fraction form
    301,647.72/452,529.87 = 114,644.64/x
  3. Step 3: Cross multiply
    301,647.72x = 452,529.87 × 114,644.64
  4. Step 4: Simplify right side
    301,647.72x = 51,880,124,035.40
  5. Step 5: Solve for x
    x = 51,880,124,035.40/301,647.72
  6. Step 6: Final answer
    x = 171,989.11

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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.