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Finding the Fourth Proportional to 472,105.82, 651,506.10 and 257,245.94

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Solution

The fourth proportional to 472,105.82, 651,506.10 and 257,245.94 is: 354,999.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,105.82 : 651,506.10 = 257,245.94 : x
  2. Step 2: Convert to fraction form
    472,105.82/651,506.10 = 257,245.94/x
  3. Step 3: Cross multiply
    472,105.82x = 651,506.10 × 257,245.94
  4. Step 4: Simplify right side
    472,105.82x = 167,597,299,110.23
  5. Step 5: Solve for x
    x = 167,597,299,110.23/472,105.82
  6. Step 6: Final answer
    x = 354,999.43

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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.