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Finding the Fourth Proportional to 383,674.80, 576,203.40 and 278,612.40

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Solution

The fourth proportional to 383,674.80, 576,203.40 and 278,612.40 is: 418,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,674.80 : 576,203.40 = 278,612.40 : x
  2. Step 2: Convert to fraction form
    383,674.80/576,203.40 = 278,612.40/x
  3. Step 3: Cross multiply
    383,674.80x = 576,203.40 × 278,612.40
  4. Step 4: Simplify right side
    383,674.80x = 160,537,412,162.16
  5. Step 5: Solve for x
    x = 160,537,412,162.16/383,674.80
  6. Step 6: Final answer
    x = 418,420.53

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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.