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Finding the Fourth Proportional to 290,056.82, 400,302.53 and 161,007.42

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Solution

The fourth proportional to 290,056.82, 400,302.53 and 161,007.42 is: 222,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,056.82 : 400,302.53 = 161,007.42 : x
  2. Step 2: Convert to fraction form
    290,056.82/400,302.53 = 161,007.42/x
  3. Step 3: Cross multiply
    290,056.82x = 400,302.53 × 161,007.42
  4. Step 4: Simplify right side
    290,056.82x = 64,451,677,574.77
  5. Step 5: Solve for x
    x = 64,451,677,574.77/290,056.82
  6. Step 6: Final answer
    x = 222,203.63

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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.