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Finding the Fourth Proportional to 383,491.48, 575,237.22 and 117,252

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Solution

The fourth proportional to 383,491.48, 575,237.22 and 117,252 is: 175,878

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,491.48 : 575,237.22 = 117,252 : x
  2. Step 2: Convert to fraction form
    383,491.48/575,237.22 = 117,252/x
  3. Step 3: Cross multiply
    383,491.48x = 575,237.22 × 117,252
  4. Step 4: Simplify right side
    383,491.48x = 67,447,714,519.44
  5. Step 5: Solve for x
    x = 67,447,714,519.44/383,491.48
  6. Step 6: Final answer
    x = 175,878

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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.