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Finding the Fourth Proportional to 307,832.20, 460,970.70 and 202,078.60

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Solution

The fourth proportional to 307,832.20, 460,970.70 and 202,078.60 is: 302,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,832.20 : 460,970.70 = 202,078.60 : x
  2. Step 2: Convert to fraction form
    307,832.20/460,970.70 = 202,078.60/x
  3. Step 3: Cross multiply
    307,832.20x = 460,970.70 × 202,078.60
  4. Step 4: Simplify right side
    307,832.20x = 93,152,313,697.02
  5. Step 5: Solve for x
    x = 93,152,313,697.02/307,832.20
  6. Step 6: Final answer
    x = 302,607.44

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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.