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Finding the Fourth Proportional to 383,748.44, 575,624.00 and 117,507.78

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Solution

The fourth proportional to 383,748.44, 575,624.00 and 117,507.78 is: 176,262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,748.44 : 575,624.00 = 117,507.78 : x
  2. Step 2: Convert to fraction form
    383,748.44/575,624.00 = 117,507.78/x
  3. Step 3: Cross multiply
    383,748.44x = 575,624.00 × 117,507.78
  4. Step 4: Simplify right side
    383,748.44x = 67,640,298,648.49
  5. Step 5: Solve for x
    x = 67,640,298,648.49/383,748.44
  6. Step 6: Final answer
    x = 176,262.08

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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.