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Finding the Fourth Proportional to 497,714.20, 746,571.30 and 295,635.40

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Solution

The fourth proportional to 497,714.20, 746,571.30 and 295,635.40 is: 443,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,714.20 : 746,571.30 = 295,635.40 : x
  2. Step 2: Convert to fraction form
    497,714.20/746,571.30 = 295,635.40/x
  3. Step 3: Cross multiply
    497,714.20x = 746,571.30 × 295,635.40
  4. Step 4: Simplify right side
    497,714.20x = 220,712,904,904.02
  5. Step 5: Solve for x
    x = 220,712,904,904.02/497,714.20
  6. Step 6: Final answer
    x = 443,453.10

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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.