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Finding the Fourth Proportional to 386,714.96, 533,658.60 and 214,622.93

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Solution

The fourth proportional to 386,714.96, 533,658.60 and 214,622.93 is: 296,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,714.96 : 533,658.60 = 214,622.93 : x
  2. Step 2: Convert to fraction form
    386,714.96/533,658.60 = 214,622.93/x
  3. Step 3: Cross multiply
    386,714.96x = 533,658.60 × 214,622.93
  4. Step 4: Simplify right side
    386,714.96x = 114,535,372,351.70
  5. Step 5: Solve for x
    x = 114,535,372,351.70/386,714.96
  6. Step 6: Final answer
    x = 296,175.18

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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.