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Finding the Fourth Proportional to 512,176.88, 706,800.06 and 297,336.92

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Solution

The fourth proportional to 512,176.88, 706,800.06 and 297,336.92 is: 410,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,176.88 : 706,800.06 = 297,336.92 : x
  2. Step 2: Convert to fraction form
    512,176.88/706,800.06 = 297,336.92/x
  3. Step 3: Cross multiply
    512,176.88x = 706,800.06 × 297,336.92
  4. Step 4: Simplify right side
    512,176.88x = 210,157,752,896.22
  5. Step 5: Solve for x
    x = 210,157,752,896.22/512,176.88
  6. Step 6: Final answer
    x = 410,322.61

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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.