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Finding the Fourth Proportional to 557,164.02, 836,078.04 and 202,205.71

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Solution

The fourth proportional to 557,164.02, 836,078.04 and 202,205.71 is: 303,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,164.02 : 836,078.04 = 202,205.71 : x
  2. Step 2: Convert to fraction form
    557,164.02/836,078.04 = 202,205.71/x
  3. Step 3: Cross multiply
    557,164.02x = 836,078.04 × 202,205.71
  4. Step 4: Simplify right side
    557,164.02x = 169,059,753,693.61
  5. Step 5: Solve for x
    x = 169,059,753,693.61/557,164.02
  6. Step 6: Final answer
    x = 303,429.06

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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.