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Finding the Fourth Proportional to 415,730.90, 623,830.23 and 226,204.94

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Solution

The fourth proportional to 415,730.90, 623,830.23 and 226,204.94 is: 339,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,730.90 : 623,830.23 = 226,204.94 : x
  2. Step 2: Convert to fraction form
    415,730.90/623,830.23 = 226,204.94/x
  3. Step 3: Cross multiply
    415,730.90x = 623,830.23 × 226,204.94
  4. Step 4: Simplify right side
    415,730.90x = 141,113,476,628.19
  5. Step 5: Solve for x
    x = 141,113,476,628.19/415,730.90
  6. Step 6: Final answer
    x = 339,434.66

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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.