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Finding the Fourth Proportional to 511,789.44, 706,041.05 and 296,804.91

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Solution

The fourth proportional to 511,789.44, 706,041.05 and 296,804.91 is: 409,458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,789.44 : 706,041.05 = 296,804.91 : x
  2. Step 2: Convert to fraction form
    511,789.44/706,041.05 = 296,804.91/x
  3. Step 3: Cross multiply
    511,789.44x = 706,041.05 × 296,804.91
  4. Step 4: Simplify right side
    511,789.44x = 209,556,450,301.56
  5. Step 5: Solve for x
    x = 209,556,450,301.56/511,789.44
  6. Step 6: Final answer
    x = 409,458.33

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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.