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Finding the Fourth Proportional to 429,349.20, 643,950.89 and 113,838

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Solution

The fourth proportional to 429,349.20, 643,950.89 and 113,838 is: 170,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,349.20 : 643,950.89 = 113,838 : x
  2. Step 2: Convert to fraction form
    429,349.20/643,950.89 = 113,838/x
  3. Step 3: Cross multiply
    429,349.20x = 643,950.89 × 113,838
  4. Step 4: Simplify right side
    429,349.20x = 73,306,081,415.82
  5. Step 5: Solve for x
    x = 73,306,081,415.82/429,349.20
  6. Step 6: Final answer
    x = 170,737.67

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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.