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Finding the Fourth Proportional to 524,489.83, 723,910.59 and 333,465.91

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Solution

The fourth proportional to 524,489.83, 723,910.59 and 333,465.91 is: 460,255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,489.83 : 723,910.59 = 333,465.91 : x
  2. Step 2: Convert to fraction form
    524,489.83/723,910.59 = 333,465.91/x
  3. Step 3: Cross multiply
    524,489.83x = 723,910.59 × 333,465.91
  4. Step 4: Simplify right side
    524,489.83x = 241,399,503,652.99
  5. Step 5: Solve for x
    x = 241,399,503,652.99/524,489.83
  6. Step 6: Final answer
    x = 460,255.83

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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.