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Finding the Fourth Proportional to 413,622.70, 620,434.05 and 203,670.70

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Solution

The fourth proportional to 413,622.70, 620,434.05 and 203,670.70 is: 305,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,622.70 : 620,434.05 = 203,670.70 : x
  2. Step 2: Convert to fraction form
    413,622.70/620,434.05 = 203,670.70/x
  3. Step 3: Cross multiply
    413,622.70x = 620,434.05 × 203,670.70
  4. Step 4: Simplify right side
    413,622.70x = 126,364,237,267.34
  5. Step 5: Solve for x
    x = 126,364,237,267.34/413,622.70
  6. Step 6: Final answer
    x = 305,506.05

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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.