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Finding the Fourth Proportional to 824,200.38, 1,236,478.14 and 255,570

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Solution

The fourth proportional to 824,200.38, 1,236,478.14 and 255,570 is: 383,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,200.38 : 1,236,478.14 = 255,570 : x
  2. Step 2: Convert to fraction form
    824,200.38/1,236,478.14 = 255,570/x
  3. Step 3: Cross multiply
    824,200.38x = 1,236,478.14 × 255,570
  4. Step 4: Simplify right side
    824,200.38x = 316,006,718,239.80
  5. Step 5: Solve for x
    x = 316,006,718,239.80/824,200.38
  6. Step 6: Final answer
    x = 383,410.06

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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.