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Finding the Fourth Proportional to 413,415.90, 619,795.80 and 226,427.40

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Solution

The fourth proportional to 413,415.90, 619,795.80 and 226,427.40 is: 339,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,415.90 : 619,795.80 = 226,427.40 : x
  2. Step 2: Convert to fraction form
    413,415.90/619,795.80 = 226,427.40/x
  3. Step 3: Cross multiply
    413,415.90x = 619,795.80 × 226,427.40
  4. Step 4: Simplify right side
    413,415.90x = 140,338,751,524.92
  5. Step 5: Solve for x
    x = 140,338,751,524.92/413,415.90
  6. Step 6: Final answer
    x = 339,461.43

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1.5x scale

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.