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Finding the Fourth Proportional to 701,760, 968,369.94 and 415,229.88

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Solution

The fourth proportional to 701,760, 968,369.94 and 415,229.88 is: 572,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,760 : 968,369.94 = 415,229.88 : x
  2. Step 2: Convert to fraction form
    701,760/968,369.94 = 415,229.88/x
  3. Step 3: Cross multiply
    701,760x = 968,369.94 × 415,229.88
  4. Step 4: Simplify right side
    701,760x = 402,096,133,981.81
  5. Step 5: Solve for x
    x = 402,096,133,981.81/701,760
  6. Step 6: Final answer
    x = 572,982.41

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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.