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Finding the Fourth Proportional to 398,385.88, 597,746.82 and 161,667.16

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Solution

The fourth proportional to 398,385.88, 597,746.82 and 161,667.16 is: 242,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,385.88 : 597,746.82 = 161,667.16 : x
  2. Step 2: Convert to fraction form
    398,385.88/597,746.82 = 161,667.16/x
  3. Step 3: Cross multiply
    398,385.88x = 597,746.82 × 161,667.16
  4. Step 4: Simplify right side
    398,385.88x = 96,636,030,788.43
  5. Step 5: Solve for x
    x = 96,636,030,788.43/398,385.88
  6. Step 6: Final answer
    x = 242,568.92

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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.