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Finding the Fourth Proportional to 512,081.08, 706,798.38 and 311,045.56

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Solution

The fourth proportional to 512,081.08, 706,798.38 and 311,045.56 is: 429,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,081.08 : 706,798.38 = 311,045.56 : x
  2. Step 2: Convert to fraction form
    512,081.08/706,798.38 = 311,045.56/x
  3. Step 3: Cross multiply
    512,081.08x = 706,798.38 × 311,045.56
  4. Step 4: Simplify right side
    512,081.08x = 219,846,497,914.19
  5. Step 5: Solve for x
    x = 219,846,497,914.19/512,081.08
  6. Step 6: Final answer
    x = 429,319.70

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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.