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Finding the Fourth Proportional to 374,714.48, 517,118.30 and 204,948.61

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Solution

The fourth proportional to 374,714.48, 517,118.30 and 204,948.61 is: 282,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,714.48 : 517,118.30 = 204,948.61 : x
  2. Step 2: Convert to fraction form
    374,714.48/517,118.30 = 204,948.61/x
  3. Step 3: Cross multiply
    374,714.48x = 517,118.30 × 204,948.61
  4. Step 4: Simplify right side
    374,714.48x = 105,982,676,790.56
  5. Step 5: Solve for x
    x = 105,982,676,790.56/374,714.48
  6. Step 6: Final answer
    x = 282,835.82

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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.