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Finding the Fourth Proportional to 408,944.40, 612,104.40 and 319,714.80

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Solution

The fourth proportional to 408,944.40, 612,104.40 and 319,714.80 is: 478,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,944.40 : 612,104.40 = 319,714.80 : x
  2. Step 2: Convert to fraction form
    408,944.40/612,104.40 = 319,714.80/x
  3. Step 3: Cross multiply
    408,944.40x = 612,104.40 × 319,714.80
  4. Step 4: Simplify right side
    408,944.40x = 195,698,835,825.12
  5. Step 5: Solve for x
    x = 195,698,835,825.12/408,944.40
  6. Step 6: Final answer
    x = 478,546.32

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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.