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Finding the Fourth Proportional to 447,648.02, 671,472.10 and 148,048.18

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Solution

The fourth proportional to 447,648.02, 671,472.10 and 148,048.18 is: 222,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,648.02 : 671,472.10 = 148,048.18 : x
  2. Step 2: Convert to fraction form
    447,648.02/671,472.10 = 148,048.18/x
  3. Step 3: Cross multiply
    447,648.02x = 671,472.10 × 148,048.18
  4. Step 4: Simplify right side
    447,648.02x = 99,410,222,325.78
  5. Step 5: Solve for x
    x = 99,410,222,325.78/447,648.02
  6. Step 6: Final answer
    x = 222,072.29

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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.