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Finding the Fourth Proportional to 383,891.40, 575,006.04 and 278,478

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Solution

The fourth proportional to 383,891.40, 575,006.04 and 278,478 is: 417,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,891.40 : 575,006.04 = 278,478 : x
  2. Step 2: Convert to fraction form
    383,891.40/575,006.04 = 278,478/x
  3. Step 3: Cross multiply
    383,891.40x = 575,006.04 × 278,478
  4. Step 4: Simplify right side
    383,891.40x = 160,126,532,007.12
  5. Step 5: Solve for x
    x = 160,126,532,007.12/383,891.40
  6. Step 6: Final answer
    x = 417,114.14

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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.