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Finding the Fourth Proportional to 511,367.59, 705,530.89 and 296,464.76

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Solution

The fourth proportional to 511,367.59, 705,530.89 and 296,464.76 is: 409,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,367.59 : 705,530.89 = 296,464.76 : x
  2. Step 2: Convert to fraction form
    511,367.59/705,530.89 = 296,464.76/x
  3. Step 3: Cross multiply
    511,367.59x = 705,530.89 × 296,464.76
  4. Step 4: Simplify right side
    511,367.59x = 209,165,045,976.44
  5. Step 5: Solve for x
    x = 209,165,045,976.44/511,367.59
  6. Step 6: Final answer
    x = 409,030.71

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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.