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Finding the Fourth Proportional to 784,224, 1,176,336 and 193,248

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Solution

The fourth proportional to 784,224, 1,176,336 and 193,248 is: 289,872

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,224 : 1,176,336 = 193,248 : x
  2. Step 2: Convert to fraction form
    784,224/1,176,336 = 193,248/x
  3. Step 3: Cross multiply
    784,224x = 1,176,336 × 193,248
  4. Step 4: Simplify right side
    784,224x = 227,324,579,328
  5. Step 5: Solve for x
    x = 227,324,579,328/784,224
  6. Step 6: Final answer
    x = 289,872

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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.