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Finding the Fourth Proportional to 383,751.44, 575,628.51 and 117,510.78

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Solution

The fourth proportional to 383,751.44, 575,628.51 and 117,510.78 is: 176,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,751.44 : 575,628.51 = 117,510.78 : x
  2. Step 2: Convert to fraction form
    383,751.44/575,628.51 = 117,510.78/x
  3. Step 3: Cross multiply
    383,751.44x = 575,628.51 × 117,510.78
  4. Step 4: Simplify right side
    383,751.44x = 67,642,555,200.34
  5. Step 5: Solve for x
    x = 67,642,555,200.34/383,751.44
  6. Step 6: Final answer
    x = 176,266.59

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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.