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Finding the Fourth Proportional to 403,209.80, 604,814.70 and 137,270.60

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Solution

The fourth proportional to 403,209.80, 604,814.70 and 137,270.60 is: 205,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,209.80 : 604,814.70 = 137,270.60 : x
  2. Step 2: Convert to fraction form
    403,209.80/604,814.70 = 137,270.60/x
  3. Step 3: Cross multiply
    403,209.80x = 604,814.70 × 137,270.60
  4. Step 4: Simplify right side
    403,209.80x = 83,023,276,757.82
  5. Step 5: Solve for x
    x = 83,023,276,757.82/403,209.80
  6. Step 6: Final answer
    x = 205,905.90

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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.