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Finding the Fourth Proportional to 413,573.70, 620,360.55 and 133,090.95

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Solution

The fourth proportional to 413,573.70, 620,360.55 and 133,090.95 is: 199,636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,573.70 : 620,360.55 = 133,090.95 : x
  2. Step 2: Convert to fraction form
    413,573.70/620,360.55 = 133,090.95/x
  3. Step 3: Cross multiply
    413,573.70x = 620,360.55 × 133,090.95
  4. Step 4: Simplify right side
    413,573.70x = 82,564,374,942.02
  5. Step 5: Solve for x
    x = 82,564,374,942.02/413,573.70
  6. Step 6: Final answer
    x = 199,636.43

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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.