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Finding the Fourth Proportional to 383,578.56, 575,432.19 and 117,276.66

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Solution

The fourth proportional to 383,578.56, 575,432.19 and 117,276.66 is: 175,934.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,578.56 : 575,432.19 = 117,276.66 : x
  2. Step 2: Convert to fraction form
    383,578.56/575,432.19 = 117,276.66/x
  3. Step 3: Cross multiply
    383,578.56x = 575,432.19 × 117,276.66
  4. Step 4: Simplify right side
    383,578.56x = 67,484,765,299.69
  5. Step 5: Solve for x
    x = 67,484,765,299.69/383,578.56
  6. Step 6: Final answer
    x = 175,934.66

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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.