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Finding the Fourth Proportional to 323,114.18, 484,677.76 and 86,456.48

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Solution

The fourth proportional to 323,114.18, 484,677.76 and 86,456.48 is: 129,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,114.18 : 484,677.76 = 86,456.48 : x
  2. Step 2: Convert to fraction form
    323,114.18/484,677.76 = 86,456.48/x
  3. Step 3: Cross multiply
    323,114.18x = 484,677.76 × 86,456.48
  4. Step 4: Simplify right side
    323,114.18x = 41,903,533,063.88
  5. Step 5: Solve for x
    x = 41,903,533,063.88/323,114.18
  6. Step 6: Final answer
    x = 129,686.46

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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.