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Finding the Fourth Proportional to 512,331.88, 707,015.28 and 297,524.76

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Solution

The fourth proportional to 512,331.88, 707,015.28 and 297,524.76 is: 410,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,331.88 : 707,015.28 = 297,524.76 : x
  2. Step 2: Convert to fraction form
    512,331.88/707,015.28 = 297,524.76/x
  3. Step 3: Cross multiply
    512,331.88x = 707,015.28 × 297,524.76
  4. Step 4: Simplify right side
    512,331.88x = 210,354,551,498.33
  5. Step 5: Solve for x
    x = 210,354,551,498.33/512,331.88
  6. Step 6: Final answer
    x = 410,582.59

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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.