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Finding the Fourth Proportional to 405,892.32, 560,190.83 and 233,777.21

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Solution

The fourth proportional to 405,892.32, 560,190.83 and 233,777.21 is: 322,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,892.32 : 560,190.83 = 233,777.21 : x
  2. Step 2: Convert to fraction form
    405,892.32/560,190.83 = 233,777.21/x
  3. Step 3: Cross multiply
    405,892.32x = 560,190.83 × 233,777.21
  4. Step 4: Simplify right side
    405,892.32x = 130,959,845,335.14
  5. Step 5: Solve for x
    x = 130,959,845,335.14/405,892.32
  6. Step 6: Final answer
    x = 322,646.77

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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.