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Finding the Fourth Proportional to 415,340.10, 623,010.15 and 226,383.30

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Solution

The fourth proportional to 415,340.10, 623,010.15 and 226,383.30 is: 339,574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,340.10 : 623,010.15 = 226,383.30 : x
  2. Step 2: Convert to fraction form
    415,340.10/623,010.15 = 226,383.30/x
  3. Step 3: Cross multiply
    415,340.10x = 623,010.15 × 226,383.30
  4. Step 4: Simplify right side
    415,340.10x = 141,039,093,690.50
  5. Step 5: Solve for x
    x = 141,039,093,690.50/415,340.10
  6. Step 6: Final answer
    x = 339,574.95

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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.