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Finding the Fourth Proportional to 383,615.50, 575,399.15 and 117,354.86

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Solution

The fourth proportional to 383,615.50, 575,399.15 and 117,354.86 is: 176,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,615.50 : 575,399.15 = 117,354.86 : x
  2. Step 2: Convert to fraction form
    383,615.50/575,399.15 = 117,354.86/x
  3. Step 3: Cross multiply
    383,615.50x = 575,399.15 × 117,354.86
  4. Step 4: Simplify right side
    383,615.50x = 67,525,886,692.37
  5. Step 5: Solve for x
    x = 67,525,886,692.37/383,615.50
  6. Step 6: Final answer
    x = 176,024.92

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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.