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Finding the Fourth Proportional to 398,284.76, 597,676.28 and 161,627.45

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Solution

The fourth proportional to 398,284.76, 597,676.28 and 161,627.45 is: 242,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,284.76 : 597,676.28 = 161,627.45 : x
  2. Step 2: Convert to fraction form
    398,284.76/597,676.28 = 161,627.45/x
  3. Step 3: Cross multiply
    398,284.76x = 597,676.28 × 161,627.45
  4. Step 4: Simplify right side
    398,284.76x = 96,600,893,061.89
  5. Step 5: Solve for x
    x = 96,600,893,061.89/398,284.76
  6. Step 6: Final answer
    x = 242,542.28

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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.