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Finding the Fourth Proportional to 412,910.88, 569,388.32 and 291,996.96

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Solution

The fourth proportional to 412,910.88, 569,388.32 and 291,996.96 is: 402,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,910.88 : 569,388.32 = 291,996.96 : x
  2. Step 2: Convert to fraction form
    412,910.88/569,388.32 = 291,996.96/x
  3. Step 3: Cross multiply
    412,910.88x = 569,388.32 × 291,996.96
  4. Step 4: Simplify right side
    412,910.88x = 166,259,658,499.51
  5. Step 5: Solve for x
    x = 166,259,658,499.51/412,910.88
  6. Step 6: Final answer
    x = 402,652.65

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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.