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Finding the Fourth Proportional to 323,957.98, 486,084.64 and 166,297.24

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Solution

The fourth proportional to 323,957.98, 486,084.64 and 166,297.24 is: 249,521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,957.98 : 486,084.64 = 166,297.24 : x
  2. Step 2: Convert to fraction form
    323,957.98/486,084.64 = 166,297.24/x
  3. Step 3: Cross multiply
    323,957.98x = 486,084.64 × 166,297.24
  4. Step 4: Simplify right side
    323,957.98x = 80,834,534,038.39
  5. Step 5: Solve for x
    x = 80,834,534,038.39/323,957.98
  6. Step 6: Final answer
    x = 249,521.66

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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.