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Finding the Fourth Proportional to 413,632.60, 620,564.10 and 203,277.40

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Solution

The fourth proportional to 413,632.60, 620,564.10 and 203,277.40 is: 304,972.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,632.60 : 620,564.10 = 203,277.40 : x
  2. Step 2: Convert to fraction form
    413,632.60/620,564.10 = 203,277.40/x
  3. Step 3: Cross multiply
    413,632.60x = 620,564.10 × 203,277.40
  4. Step 4: Simplify right side
    413,632.60x = 126,146,656,781.34
  5. Step 5: Solve for x
    x = 126,146,656,781.34/413,632.60
  6. Step 6: Final answer
    x = 304,972.71

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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.