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Finding the Fourth Proportional to 383,992.32, 575,966.93 and 117,752.11

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Solution

The fourth proportional to 383,992.32, 575,966.93 and 117,752.11 is: 176,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,992.32 : 575,966.93 = 117,752.11 : x
  2. Step 2: Convert to fraction form
    383,992.32/575,966.93 = 117,752.11/x
  3. Step 3: Cross multiply
    383,992.32x = 575,966.93 × 117,752.11
  4. Step 4: Simplify right side
    383,992.32x = 67,821,321,297.72
  5. Step 5: Solve for x
    x = 67,821,321,297.72/383,992.32
  6. Step 6: Final answer
    x = 176,621.56

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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.