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Finding the Fourth Proportional to 383,816.40, 575,767.80 and 117,574.80

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Solution

The fourth proportional to 383,816.40, 575,767.80 and 117,574.80 is: 176,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,816.40 : 575,767.80 = 117,574.80 : x
  2. Step 2: Convert to fraction form
    383,816.40/575,767.80 = 117,574.80/x
  3. Step 3: Cross multiply
    383,816.40x = 575,767.80 × 117,574.80
  4. Step 4: Simplify right side
    383,816.40x = 67,695,783,931.44
  5. Step 5: Solve for x
    x = 67,695,783,931.44/383,816.40
  6. Step 6: Final answer
    x = 176,375.43

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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.