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Finding the Fourth Proportional to 415,894.10, 624,117.90 and 226,402.22

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Solution

The fourth proportional to 415,894.10, 624,117.90 and 226,402.22 is: 339,753.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,894.10 : 624,117.90 = 226,402.22 : x
  2. Step 2: Convert to fraction form
    415,894.10/624,117.90 = 226,402.22/x
  3. Step 3: Cross multiply
    415,894.10x = 624,117.90 × 226,402.22
  4. Step 4: Simplify right side
    415,894.10x = 141,301,678,101.74
  5. Step 5: Solve for x
    x = 141,301,678,101.74/415,894.10
  6. Step 6: Final answer
    x = 339,753.99

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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.