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Finding the Fourth Proportional to 489,714.60, 733,697.10 and 419,730.60

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Solution

The fourth proportional to 489,714.60, 733,697.10 and 419,730.60 is: 628,846.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,714.60 : 733,697.10 = 419,730.60 : x
  2. Step 2: Convert to fraction form
    489,714.60/733,697.10 = 419,730.60/x
  3. Step 3: Cross multiply
    489,714.60x = 733,697.10 × 419,730.60
  4. Step 4: Simplify right side
    489,714.60x = 307,955,124,001.26
  5. Step 5: Solve for x
    x = 307,955,124,001.26/489,714.60
  6. Step 6: Final answer
    x = 628,846.12

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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.