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Finding the Fourth Proportional to 557,384.32, 836,298 and 178,363.44

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Solution

The fourth proportional to 557,384.32, 836,298 and 178,363.44 is: 267,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,384.32 : 836,298 = 178,363.44 : x
  2. Step 2: Convert to fraction form
    557,384.32/836,298 = 178,363.44/x
  3. Step 3: Cross multiply
    557,384.32x = 836,298 × 178,363.44
  4. Step 4: Simplify right side
    557,384.32x = 149,164,988,145.12
  5. Step 5: Solve for x
    x = 149,164,988,145.12/557,384.32
  6. Step 6: Final answer
    x = 267,616.05

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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.