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Finding the Fourth Proportional to 409,204.80, 613,807.20 and 209,458.80

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Solution

The fourth proportional to 409,204.80, 613,807.20 and 209,458.80 is: 314,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,204.80 : 613,807.20 = 209,458.80 : x
  2. Step 2: Convert to fraction form
    409,204.80/613,807.20 = 209,458.80/x
  3. Step 3: Cross multiply
    409,204.80x = 613,807.20 × 209,458.80
  4. Step 4: Simplify right side
    409,204.80x = 128,567,319,543.36
  5. Step 5: Solve for x
    x = 128,567,319,543.36/409,204.80
  6. Step 6: Final answer
    x = 314,188.20

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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.