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Finding the Fourth Proportional to 413,461.70, 620,365.35 and 133,064.90

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Solution

The fourth proportional to 413,461.70, 620,365.35 and 133,064.90 is: 199,652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,461.70 : 620,365.35 = 133,064.90 : x
  2. Step 2: Convert to fraction form
    413,461.70/620,365.35 = 133,064.90/x
  3. Step 3: Cross multiply
    413,461.70x = 620,365.35 × 133,064.90
  4. Step 4: Simplify right side
    413,461.70x = 82,548,853,261.22
  5. Step 5: Solve for x
    x = 82,548,853,261.22/413,461.70
  6. Step 6: Final answer
    x = 199,652.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.