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Finding the Fourth Proportional to 322,698, 484,072.56 and 98,077.92

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Solution

The fourth proportional to 322,698, 484,072.56 and 98,077.92 is: 147,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,698 : 484,072.56 = 98,077.92 : x
  2. Step 2: Convert to fraction form
    322,698/484,072.56 = 98,077.92/x
  3. Step 3: Cross multiply
    322,698x = 484,072.56 × 98,077.92
  4. Step 4: Simplify right side
    322,698x = 47,476,829,813.88
  5. Step 5: Solve for x
    x = 47,476,829,813.88/322,698
  6. Step 6: Final answer
    x = 147,124.65

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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.