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Finding the Fourth Proportional to 511,367.46, 705,530.71 and 296,464.64

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Solution

The fourth proportional to 511,367.46, 705,530.71 and 296,464.64 is: 409,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,367.46 : 705,530.71 = 296,464.64 : x
  2. Step 2: Convert to fraction form
    511,367.46/705,530.71 = 296,464.64/x
  3. Step 3: Cross multiply
    511,367.46x = 705,530.71 × 296,464.64
  4. Step 4: Simplify right side
    511,367.46x = 209,164,907,949.09
  5. Step 5: Solve for x
    x = 209,164,907,949.09/511,367.46
  6. Step 6: Final answer
    x = 409,030.54

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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.