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Finding the Fourth Proportional to 784,248, 1,176,372 and 193,272

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Solution

The fourth proportional to 784,248, 1,176,372 and 193,272 is: 289,908

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,248 : 1,176,372 = 193,272 : x
  2. Step 2: Convert to fraction form
    784,248/1,176,372 = 193,272/x
  3. Step 3: Cross multiply
    784,248x = 1,176,372 × 193,272
  4. Step 4: Simplify right side
    784,248x = 227,359,769,184
  5. Step 5: Solve for x
    x = 227,359,769,184/784,248
  6. Step 6: Final answer
    x = 289,908

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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.