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Finding the Fourth Proportional to 489,364.40, 734,046.64 and 414,714.80

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Solution

The fourth proportional to 489,364.40, 734,046.64 and 414,714.80 is: 622,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,364.40 : 734,046.64 = 414,714.80 : x
  2. Step 2: Convert to fraction form
    489,364.40/734,046.64 = 414,714.80/x
  3. Step 3: Cross multiply
    489,364.40x = 734,046.64 × 414,714.80
  4. Step 4: Simplify right side
    489,364.40x = 304,420,005,498.27
  5. Step 5: Solve for x
    x = 304,420,005,498.27/489,364.40
  6. Step 6: Final answer
    x = 622,072.23

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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.