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Finding the Fourth Proportional to 408,322.42, 612,607.96 and 208,782.96

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Solution

The fourth proportional to 408,322.42, 612,607.96 and 208,782.96 is: 313,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,322.42 : 612,607.96 = 208,782.96 : x
  2. Step 2: Convert to fraction form
    408,322.42/612,607.96 = 208,782.96/x
  3. Step 3: Cross multiply
    408,322.42x = 612,607.96 × 208,782.96
  4. Step 4: Simplify right side
    408,322.42x = 127,902,103,208.36
  5. Step 5: Solve for x
    x = 127,902,103,208.36/408,322.42
  6. Step 6: Final answer
    x = 313,238.01

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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.