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Finding the Fourth Proportional to 413,536.40, 620,412.60 and 133,060.40

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Solution

The fourth proportional to 413,536.40, 620,412.60 and 133,060.40 is: 199,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,536.40 : 620,412.60 = 133,060.40 : x
  2. Step 2: Convert to fraction form
    413,536.40/620,412.60 = 133,060.40/x
  3. Step 3: Cross multiply
    413,536.40x = 620,412.60 × 133,060.40
  4. Step 4: Simplify right side
    413,536.40x = 82,552,348,721.04
  5. Step 5: Solve for x
    x = 82,552,348,721.04/413,536.40
  6. Step 6: Final answer
    x = 199,625.35

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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.