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Finding the Fourth Proportional to 383,686.58, 575,509.34 and 117,447.24

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Solution

The fourth proportional to 383,686.58, 575,509.34 and 117,447.24 is: 176,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,686.58 : 575,509.34 = 117,447.24 : x
  2. Step 2: Convert to fraction form
    383,686.58/575,509.34 = 117,447.24/x
  3. Step 3: Cross multiply
    383,686.58x = 575,509.34 × 117,447.24
  4. Step 4: Simplify right side
    383,686.58x = 67,591,983,577.22
  5. Step 5: Solve for x
    x = 67,591,983,577.22/383,686.58
  6. Step 6: Final answer
    x = 176,164.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.