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Finding the Fourth Proportional to 463,616.34, 695,872.89 and 223,898.28

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Solution

The fourth proportional to 463,616.34, 695,872.89 and 223,898.28 is: 336,063.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,616.34 : 695,872.89 = 223,898.28 : x
  2. Step 2: Convert to fraction form
    463,616.34/695,872.89 = 223,898.28/x
  3. Step 3: Cross multiply
    463,616.34x = 695,872.89 × 223,898.28
  4. Step 4: Simplify right side
    463,616.34x = 155,804,743,169.63
  5. Step 5: Solve for x
    x = 155,804,743,169.63/463,616.34
  6. Step 6: Final answer
    x = 336,063.96

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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.