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Finding the Fourth Proportional to 349,133.50, 523,730.63 and 96,414.31

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Solution

The fourth proportional to 349,133.50, 523,730.63 and 96,414.31 is: 144,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,133.50 : 523,730.63 = 96,414.31 : x
  2. Step 2: Convert to fraction form
    349,133.50/523,730.63 = 96,414.31/x
  3. Step 3: Cross multiply
    349,133.50x = 523,730.63 × 96,414.31
  4. Step 4: Simplify right side
    349,133.50x = 50,495,127,317.32
  5. Step 5: Solve for x
    x = 50,495,127,317.32/349,133.50
  6. Step 6: Final answer
    x = 144,629.85

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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.