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Finding the Fourth Proportional to 403,203.20, 604,877.70 and 203,019.80

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Solution

The fourth proportional to 403,203.20, 604,877.70 and 203,019.80 is: 304,566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,203.20 : 604,877.70 = 203,019.80 : x
  2. Step 2: Convert to fraction form
    403,203.20/604,877.70 = 203,019.80/x
  3. Step 3: Cross multiply
    403,203.20x = 604,877.70 × 203,019.80
  4. Step 4: Simplify right side
    403,203.20x = 122,802,149,678.46
  5. Step 5: Solve for x
    x = 122,802,149,678.46/403,203.20
  6. Step 6: Final answer
    x = 304,566.41

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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.