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Finding the Fourth Proportional to 326,614.60, 489,966.54 and 116,201.80

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Solution

The fourth proportional to 326,614.60, 489,966.54 and 116,201.80 is: 174,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,614.60 : 489,966.54 = 116,201.80 : x
  2. Step 2: Convert to fraction form
    326,614.60/489,966.54 = 116,201.80/x
  3. Step 3: Cross multiply
    326,614.60x = 489,966.54 × 116,201.80
  4. Step 4: Simplify right side
    326,614.60x = 56,934,993,887.77
  5. Step 5: Solve for x
    x = 56,934,993,887.77/326,614.60
  6. Step 6: Final answer
    x = 174,318.58

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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.