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Finding the Fourth Proportional to 383,706.47, 575,461.53 and 113,771.48

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Solution

The fourth proportional to 383,706.47, 575,461.53 and 113,771.48 is: 170,628.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,706.47 : 575,461.53 = 113,771.48 : x
  2. Step 2: Convert to fraction form
    383,706.47/575,461.53 = 113,771.48/x
  3. Step 3: Cross multiply
    383,706.47x = 575,461.53 × 113,771.48
  4. Step 4: Simplify right side
    383,706.47x = 65,471,107,073.86
  5. Step 5: Solve for x
    x = 65,471,107,073.86/383,706.47
  6. Step 6: Final answer
    x = 170,628.10

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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.