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Finding the Fourth Proportional to 299,342.28, 413,436.01 and 218,032.81

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Solution

The fourth proportional to 299,342.28, 413,436.01 and 218,032.81 is: 301,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,342.28 : 413,436.01 = 218,032.81 : x
  2. Step 2: Convert to fraction form
    299,342.28/413,436.01 = 218,032.81/x
  3. Step 3: Cross multiply
    299,342.28x = 413,436.01 × 218,032.81
  4. Step 4: Simplify right side
    299,342.28x = 90,142,611,858.14
  5. Step 5: Solve for x
    x = 90,142,611,858.14/299,342.28
  6. Step 6: Final answer
    x = 301,135.59

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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.