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Finding the Fourth Proportional to 285,419.40, 393,877.80 and 164,560.02

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Solution

The fourth proportional to 285,419.40, 393,877.80 and 164,560.02 is: 227,092.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,419.40 : 393,877.80 = 164,560.02 : x
  2. Step 2: Convert to fraction form
    285,419.40/393,877.80 = 164,560.02/x
  3. Step 3: Cross multiply
    285,419.40x = 393,877.80 × 164,560.02
  4. Step 4: Simplify right side
    285,419.40x = 64,816,538,645.56
  5. Step 5: Solve for x
    x = 64,816,538,645.56/285,419.40
  6. Step 6: Final answer
    x = 227,092.27

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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.