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Finding the Fourth Proportional to 524,043.72, 723,729.26 and 361,123.84

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Solution

The fourth proportional to 524,043.72, 723,729.26 and 361,123.84 is: 498,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,043.72 : 723,729.26 = 361,123.84 : x
  2. Step 2: Convert to fraction form
    524,043.72/723,729.26 = 361,123.84/x
  3. Step 3: Cross multiply
    524,043.72x = 723,729.26 × 361,123.84
  4. Step 4: Simplify right side
    524,043.72x = 261,355,889,491.56
  5. Step 5: Solve for x
    x = 261,355,889,491.56/524,043.72
  6. Step 6: Final answer
    x = 498,729.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.