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Finding the Fourth Proportional to 294,091.50, 441,137.25 and 72,475.50

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Solution

The fourth proportional to 294,091.50, 441,137.25 and 72,475.50 is: 108,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,091.50 : 441,137.25 = 72,475.50 : x
  2. Step 2: Convert to fraction form
    294,091.50/441,137.25 = 72,475.50/x
  3. Step 3: Cross multiply
    294,091.50x = 441,137.25 × 72,475.50
  4. Step 4: Simplify right side
    294,091.50x = 31,971,642,762.38
  5. Step 5: Solve for x
    x = 31,971,642,762.38/294,091.50
  6. Step 6: Final answer
    x = 108,713.25

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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.