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Finding the Fourth Proportional to 577,886.44, 865,654.62 and 471,649

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Solution

The fourth proportional to 577,886.44, 865,654.62 and 471,649 is: 706,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,886.44 : 865,654.62 = 471,649 : x
  2. Step 2: Convert to fraction form
    577,886.44/865,654.62 = 471,649/x
  3. Step 3: Cross multiply
    577,886.44x = 865,654.62 × 471,649
  4. Step 4: Simplify right side
    577,886.44x = 408,285,135,868.38
  5. Step 5: Solve for x
    x = 408,285,135,868.38/577,886.44
  6. Step 6: Final answer
    x = 706,514.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.