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Finding the Fourth Proportional to 557,818.92, 836,783.64 and 178,644.24

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Solution

The fourth proportional to 557,818.92, 836,783.64 and 178,644.24 is: 267,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,818.92 : 836,783.64 = 178,644.24 : x
  2. Step 2: Convert to fraction form
    557,818.92/836,783.64 = 178,644.24/x
  3. Step 3: Cross multiply
    557,818.92x = 836,783.64 × 178,644.24
  4. Step 4: Simplify right side
    557,818.92x = 149,486,577,412.23
  5. Step 5: Solve for x
    x = 149,486,577,412.23/557,818.92
  6. Step 6: Final answer
    x = 267,984.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.