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Finding the Fourth Proportional to 321,877.74, 482,816.60 and 171,662.94

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Solution

The fourth proportional to 321,877.74, 482,816.60 and 171,662.94 is: 257,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,877.74 : 482,816.60 = 171,662.94 : x
  2. Step 2: Convert to fraction form
    321,877.74/482,816.60 = 171,662.94/x
  3. Step 3: Cross multiply
    321,877.74x = 482,816.60 × 171,662.94
  4. Step 4: Simplify right side
    321,877.74x = 82,881,716,178.49
  5. Step 5: Solve for x
    x = 82,881,716,178.49/321,877.74
  6. Step 6: Final answer
    x = 257,494.40

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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.