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Finding the Fourth Proportional to 413,175.60, 619,763.40 and 236,028.60

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Solution

The fourth proportional to 413,175.60, 619,763.40 and 236,028.60 is: 354,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,175.60 : 619,763.40 = 236,028.60 : x
  2. Step 2: Convert to fraction form
    413,175.60/619,763.40 = 236,028.60/x
  3. Step 3: Cross multiply
    413,175.60x = 619,763.40 × 236,028.60
  4. Step 4: Simplify right side
    413,175.60x = 146,281,887,633.24
  5. Step 5: Solve for x
    x = 146,281,887,633.24/413,175.60
  6. Step 6: Final answer
    x = 354,042.90

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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.