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Finding the Fourth Proportional to 286,243.32, 429,354.04 and 117,716.76

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Solution

The fourth proportional to 286,243.32, 429,354.04 and 117,716.76 is: 176,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,243.32 : 429,354.04 = 117,716.76 : x
  2. Step 2: Convert to fraction form
    286,243.32/429,354.04 = 117,716.76/x
  3. Step 3: Cross multiply
    286,243.32x = 429,354.04 × 117,716.76
  4. Step 4: Simplify right side
    286,243.32x = 50,542,166,481.71
  5. Step 5: Solve for x
    x = 50,542,166,481.71/286,243.32
  6. Step 6: Final answer
    x = 176,570.64

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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.