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Finding the Fourth Proportional to 383,763.64, 575,646.90 and 117,523.12

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Solution

The fourth proportional to 383,763.64, 575,646.90 and 117,523.12 is: 176,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,763.64 : 575,646.90 = 117,523.12 : x
  2. Step 2: Convert to fraction form
    383,763.64/575,646.90 = 117,523.12/x
  3. Step 3: Cross multiply
    383,763.64x = 575,646.90 × 117,523.12
  4. Step 4: Simplify right side
    383,763.64x = 67,651,819,706.33
  5. Step 5: Solve for x
    x = 67,651,819,706.33/383,763.64
  6. Step 6: Final answer
    x = 176,285.12

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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.