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Finding the Fourth Proportional to 321,529.44, 443,715.36 and 176,349.12

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Solution

The fourth proportional to 321,529.44, 443,715.36 and 176,349.12 is: 243,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,529.44 : 443,715.36 = 176,349.12 : x
  2. Step 2: Convert to fraction form
    321,529.44/443,715.36 = 176,349.12/x
  3. Step 3: Cross multiply
    321,529.44x = 443,715.36 × 176,349.12
  4. Step 4: Simplify right side
    321,529.44x = 78,248,813,266.48
  5. Step 5: Solve for x
    x = 78,248,813,266.48/321,529.44
  6. Step 6: Final answer
    x = 243,364.38

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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.