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Finding the Fourth Proportional to 294,472.70, 441,709.05 and 161,762.30

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Solution

The fourth proportional to 294,472.70, 441,709.05 and 161,762.30 is: 242,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,472.70 : 441,709.05 = 161,762.30 : x
  2. Step 2: Convert to fraction form
    294,472.70/441,709.05 = 161,762.30/x
  3. Step 3: Cross multiply
    294,472.70x = 441,709.05 × 161,762.30
  4. Step 4: Simplify right side
    294,472.70x = 71,451,871,858.82
  5. Step 5: Solve for x
    x = 71,451,871,858.82/294,472.70
  6. Step 6: Final answer
    x = 242,643.45

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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.