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Finding the Fourth Proportional to 383,856.91, 575,764.61 and 117,618.21

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Solution

The fourth proportional to 383,856.91, 575,764.61 and 117,618.21 is: 176,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,856.91 : 575,764.61 = 117,618.21 : x
  2. Step 2: Convert to fraction form
    383,856.91/575,764.61 = 117,618.21/x
  3. Step 3: Cross multiply
    383,856.91x = 575,764.61 × 117,618.21
  4. Step 4: Simplify right side
    383,856.91x = 67,720,402,809.55
  5. Step 5: Solve for x
    x = 67,720,402,809.55/383,856.91
  6. Step 6: Final answer
    x = 176,420.96

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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.