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Finding the Fourth Proportional to 816,178, 1,224,337.56 and 225,202

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Solution

The fourth proportional to 816,178, 1,224,337.56 and 225,202 is: 337,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,178 : 1,224,337.56 = 225,202 : x
  2. Step 2: Convert to fraction form
    816,178/1,224,337.56 = 225,202/x
  3. Step 3: Cross multiply
    816,178x = 1,224,337.56 × 225,202
  4. Step 4: Simplify right side
    816,178x = 275,723,267,187.12
  5. Step 5: Solve for x
    x = 275,723,267,187.12/816,178
  6. Step 6: Final answer
    x = 337,822.47

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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.