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Finding the Fourth Proportional to 413,848.90, 620,445.30 and 226,860.40

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Solution

The fourth proportional to 413,848.90, 620,445.30 and 226,860.40 is: 340,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,848.90 : 620,445.30 = 226,860.40 : x
  2. Step 2: Convert to fraction form
    413,848.90/620,445.30 = 226,860.40/x
  3. Step 3: Cross multiply
    413,848.90x = 620,445.30 × 226,860.40
  4. Step 4: Simplify right side
    413,848.90x = 140,754,468,936.12
  5. Step 5: Solve for x
    x = 140,754,468,936.12/413,848.90
  6. Step 6: Final answer
    x = 340,110.77

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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.