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Finding the Fourth Proportional to 349,356.80, 523,581.60 and 161,969.60

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Solution

The fourth proportional to 349,356.80, 523,581.60 and 161,969.60 is: 242,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,356.80 : 523,581.60 = 161,969.60 : x
  2. Step 2: Convert to fraction form
    349,356.80/523,581.60 = 161,969.60/x
  3. Step 3: Cross multiply
    349,356.80x = 523,581.60 × 161,969.60
  4. Step 4: Simplify right side
    349,356.80x = 84,804,302,319.36
  5. Step 5: Solve for x
    x = 84,804,302,319.36/349,356.80
  6. Step 6: Final answer
    x = 242,744.10

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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.