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Finding the Fourth Proportional to 321,666.84, 443,953.46 and 178,473.01

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Solution

The fourth proportional to 321,666.84, 443,953.46 and 178,473.01 is: 246,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,666.84 : 443,953.46 = 178,473.01 : x
  2. Step 2: Convert to fraction form
    321,666.84/443,953.46 = 178,473.01/x
  3. Step 3: Cross multiply
    321,666.84x = 443,953.46 × 178,473.01
  4. Step 4: Simplify right side
    321,666.84x = 79,233,710,523.63
  5. Step 5: Solve for x
    x = 79,233,710,523.63/321,666.84
  6. Step 6: Final answer
    x = 246,322.29

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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.