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Finding the Fourth Proportional to 383,908.88, 575,974 and 117,708.68

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Solution

The fourth proportional to 383,908.88, 575,974 and 117,708.68 is: 176,596.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,908.88 : 575,974 = 117,708.68 : x
  2. Step 2: Convert to fraction form
    383,908.88/575,974 = 117,708.68/x
  3. Step 3: Cross multiply
    383,908.88x = 575,974 × 117,708.68
  4. Step 4: Simplify right side
    383,908.88x = 67,797,139,254.32
  5. Step 5: Solve for x
    x = 67,797,139,254.32/383,908.88
  6. Step 6: Final answer
    x = 176,596.96

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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.