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Finding the Fourth Proportional to 377,402.90, 566,104.24 and 258,714.41

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Solution

The fourth proportional to 377,402.90, 566,104.24 and 258,714.41 is: 388,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,402.90 : 566,104.24 = 258,714.41 : x
  2. Step 2: Convert to fraction form
    377,402.90/566,104.24 = 258,714.41/x
  3. Step 3: Cross multiply
    377,402.90x = 566,104.24 × 258,714.41
  4. Step 4: Simplify right side
    377,402.90x = 146,459,321,942.97
  5. Step 5: Solve for x
    x = 146,459,321,942.97/377,402.90
  6. Step 6: Final answer
    x = 388,071.54

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Why These Related Problems?

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