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Finding the Fourth Proportional to 407,498.40, 610,664.40 and 300,043.80

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Solution

The fourth proportional to 407,498.40, 610,664.40 and 300,043.80 is: 449,636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,498.40 : 610,664.40 = 300,043.80 : x
  2. Step 2: Convert to fraction form
    407,498.40/610,664.40 = 300,043.80/x
  3. Step 3: Cross multiply
    407,498.40x = 610,664.40 × 300,043.80
  4. Step 4: Simplify right side
    407,498.40x = 183,226,067,100.72
  5. Step 5: Solve for x
    x = 183,226,067,100.72/407,498.40
  6. Step 6: Final answer
    x = 449,636.29

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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.