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Finding the Fourth Proportional to 511,756.69, 706,231.57 and 296,961.70

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Solution

The fourth proportional to 511,756.69, 706,231.57 and 296,961.70 is: 409,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,756.69 : 706,231.57 = 296,961.70 : x
  2. Step 2: Convert to fraction form
    511,756.69/706,231.57 = 296,961.70/x
  3. Step 3: Cross multiply
    511,756.69x = 706,231.57 × 296,961.70
  4. Step 4: Simplify right side
    511,756.69x = 209,723,727,620.87
  5. Step 5: Solve for x
    x = 209,723,727,620.87/511,756.69
  6. Step 6: Final answer
    x = 409,811.40

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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.