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Finding the Fourth Proportional to 393,561.36, 590,226.66 and 180,208.62

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Solution

The fourth proportional to 393,561.36, 590,226.66 and 180,208.62 is: 270,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,561.36 : 590,226.66 = 180,208.62 : x
  2. Step 2: Convert to fraction form
    393,561.36/590,226.66 = 180,208.62/x
  3. Step 3: Cross multiply
    393,561.36x = 590,226.66 × 180,208.62
  4. Step 4: Simplify right side
    393,561.36x = 106,363,931,885.81
  5. Step 5: Solve for x
    x = 106,363,931,885.81/393,561.36
  6. Step 6: Final answer
    x = 270,260.10

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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.