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Finding the Fourth Proportional to 511,897.38, 706,437.63 and 285,586.62

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Solution

The fourth proportional to 511,897.38, 706,437.63 and 285,586.62 is: 394,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,897.38 : 706,437.63 = 285,586.62 : x
  2. Step 2: Convert to fraction form
    511,897.38/706,437.63 = 285,586.62/x
  3. Step 3: Cross multiply
    511,897.38x = 706,437.63 × 285,586.62
  4. Step 4: Simplify right side
    511,897.38x = 201,749,134,992.51
  5. Step 5: Solve for x
    x = 201,749,134,992.51/511,897.38
  6. Step 6: Final answer
    x = 394,120.27

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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.