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Finding the Fourth Proportional to 413,536.30, 580,131.80 and 413,536.30

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Solution

The fourth proportional to 413,536.30, 580,131.80 and 413,536.30 is: 580,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,536.30 : 580,131.80 = 413,536.30 : x
  2. Step 2: Convert to fraction form
    413,536.30/580,131.80 = 413,536.30/x
  3. Step 3: Cross multiply
    413,536.30x = 580,131.80 × 413,536.30
  4. Step 4: Simplify right side
    413,536.30x = 239,905,558,084.34
  5. Step 5: Solve for x
    x = 239,905,558,084.34/413,536.30
  6. Step 6: Final answer
    x = 580,131.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.