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Finding the Fourth Proportional to 540,359.81, 809,664.92 and 329,358.05

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Solution

The fourth proportional to 540,359.81, 809,664.92 and 329,358.05 is: 493,503.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,359.81 : 809,664.92 = 329,358.05 : x
  2. Step 2: Convert to fraction form
    540,359.81/809,664.92 = 329,358.05/x
  3. Step 3: Cross multiply
    540,359.81x = 809,664.92 × 329,358.05
  4. Step 4: Simplify right side
    540,359.81x = 266,669,657,557.82
  5. Step 5: Solve for x
    x = 266,669,657,557.82/540,359.81
  6. Step 6: Final answer
    x = 493,503.87

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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.