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Finding the Fourth Proportional to 452,014.84, 677,759.73 and 171,379

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Solution

The fourth proportional to 452,014.84, 677,759.73 and 171,379 is: 256,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,014.84 : 677,759.73 = 171,379 : x
  2. Step 2: Convert to fraction form
    452,014.84/677,759.73 = 171,379/x
  3. Step 3: Cross multiply
    452,014.84x = 677,759.73 × 171,379
  4. Step 4: Simplify right side
    452,014.84x = 116,153,784,767.67
  5. Step 5: Solve for x
    x = 116,153,784,767.67/452,014.84
  6. Step 6: Final answer
    x = 256,968.96

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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.