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Finding the Fourth Proportional to 398,958.58, 597,920.82 and 162,026.02

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Solution

The fourth proportional to 398,958.58, 597,920.82 and 162,026.02 is: 242,829.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,958.58 : 597,920.82 = 162,026.02 : x
  2. Step 2: Convert to fraction form
    398,958.58/597,920.82 = 162,026.02/x
  3. Step 3: Cross multiply
    398,958.58x = 597,920.82 × 162,026.02
  4. Step 4: Simplify right side
    398,958.58x = 96,878,730,739.74
  5. Step 5: Solve for x
    x = 96,878,730,739.74/398,958.58
  6. Step 6: Final answer
    x = 242,829.04

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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.