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Finding the Fourth Proportional to 671,410.82, 926,564.16 and 413,191.73

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Solution

The fourth proportional to 671,410.82, 926,564.16 and 413,191.73 is: 570,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,410.82 : 926,564.16 = 413,191.73 : x
  2. Step 2: Convert to fraction form
    671,410.82/926,564.16 = 413,191.73/x
  3. Step 3: Cross multiply
    671,410.82x = 926,564.16 × 413,191.73
  4. Step 4: Simplify right side
    671,410.82x = 382,848,652,092.28
  5. Step 5: Solve for x
    x = 382,848,652,092.28/671,410.82
  6. Step 6: Final answer
    x = 570,215.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.