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Finding the Fourth Proportional to 398,282.76, 597,673.28 and 161,625.45

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Solution

The fourth proportional to 398,282.76, 597,673.28 and 161,625.45 is: 242,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,282.76 : 597,673.28 = 161,625.45 : x
  2. Step 2: Convert to fraction form
    398,282.76/597,673.28 = 161,625.45/x
  3. Step 3: Cross multiply
    398,282.76x = 597,673.28 × 161,625.45
  4. Step 4: Simplify right side
    398,282.76x = 96,599,212,832.98
  5. Step 5: Solve for x
    x = 96,599,212,832.98/398,282.76
  6. Step 6: Final answer
    x = 242,539.28

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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.