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Finding the Fourth Proportional to 394,929.60, 592,005.60 and 195,280.80

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Solution

The fourth proportional to 394,929.60, 592,005.60 and 195,280.80 is: 292,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,929.60 : 592,005.60 = 195,280.80 : x
  2. Step 2: Convert to fraction form
    394,929.60/592,005.60 = 195,280.80/x
  3. Step 3: Cross multiply
    394,929.60x = 592,005.60 × 195,280.80
  4. Step 4: Simplify right side
    394,929.60x = 115,607,327,172.48
  5. Step 5: Solve for x
    x = 115,607,327,172.48/394,929.60
  6. Step 6: Final answer
    x = 292,728.95

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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.