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Finding the Fourth Proportional to 475,721, 656,514.90 and 260,869.34

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Solution

The fourth proportional to 475,721, 656,514.90 and 260,869.34 is: 360,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,721 : 656,514.90 = 260,869.34 : x
  2. Step 2: Convert to fraction form
    475,721/656,514.90 = 260,869.34/x
  3. Step 3: Cross multiply
    475,721x = 656,514.90 × 260,869.34
  4. Step 4: Simplify right side
    475,721x = 171,264,608,663.17
  5. Step 5: Solve for x
    x = 171,264,608,663.17/475,721
  6. Step 6: Final answer
    x = 360,010.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.