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Finding the Fourth Proportional to 415,893.10, 624,116.40 and 226,401.22

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Solution

The fourth proportional to 415,893.10, 624,116.40 and 226,401.22 is: 339,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,893.10 : 624,116.40 = 226,401.22 : x
  2. Step 2: Convert to fraction form
    415,893.10/624,116.40 = 226,401.22/x
  3. Step 3: Cross multiply
    415,893.10x = 624,116.40 × 226,401.22
  4. Step 4: Simplify right side
    415,893.10x = 141,300,714,382.01
  5. Step 5: Solve for x
    x = 141,300,714,382.01/415,893.10
  6. Step 6: Final answer
    x = 339,752.49

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1.5x scale

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.