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Finding the Fourth Proportional to 524,703.20, 724,198 and 333,679.68

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Solution

The fourth proportional to 524,703.20, 724,198 and 333,679.68 is: 460,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,703.20 : 724,198 = 333,679.68 : x
  2. Step 2: Convert to fraction form
    524,703.20/724,198 = 333,679.68/x
  3. Step 3: Cross multiply
    524,703.20x = 724,198 × 333,679.68
  4. Step 4: Simplify right side
    524,703.20x = 241,650,156,896.64
  5. Step 5: Solve for x
    x = 241,650,156,896.64/524,703.20
  6. Step 6: Final answer
    x = 460,546.38

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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.