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Finding the Fourth Proportional to 405,132.80, 607,213.20 and 168,353.60

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Solution

The fourth proportional to 405,132.80, 607,213.20 and 168,353.60 is: 252,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,132.80 : 607,213.20 = 168,353.60 : x
  2. Step 2: Convert to fraction form
    405,132.80/607,213.20 = 168,353.60/x
  3. Step 3: Cross multiply
    405,132.80x = 607,213.20 × 168,353.60
  4. Step 4: Simplify right side
    405,132.80x = 102,226,528,187.52
  5. Step 5: Solve for x
    x = 102,226,528,187.52/405,132.80
  6. Step 6: Final answer
    x = 252,328.44

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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.