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Finding the Fourth Proportional to 448,002.70, 672,004.05 and 412,233.10

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Solution

The fourth proportional to 448,002.70, 672,004.05 and 412,233.10 is: 618,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,002.70 : 672,004.05 = 412,233.10 : x
  2. Step 2: Convert to fraction form
    448,002.70/672,004.05 = 412,233.10/x
  3. Step 3: Cross multiply
    448,002.70x = 672,004.05 × 412,233.10
  4. Step 4: Simplify right side
    448,002.70x = 277,022,312,744.06
  5. Step 5: Solve for x
    x = 277,022,312,744.06/448,002.70
  6. Step 6: Final answer
    x = 618,349.65

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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.