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Finding the Fourth Proportional to 477,093, 657,694.50 and 333,406.92

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Solution

The fourth proportional to 477,093, 657,694.50 and 333,406.92 is: 459,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,093 : 657,694.50 = 333,406.92 : x
  2. Step 2: Convert to fraction form
    477,093/657,694.50 = 333,406.92/x
  3. Step 3: Cross multiply
    477,093x = 657,694.50 × 333,406.92
  4. Step 4: Simplify right side
    477,093x = 219,279,897,545.94
  5. Step 5: Solve for x
    x = 219,279,897,545.94/477,093
  6. Step 6: Final answer
    x = 459,616.67

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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.