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Finding the Fourth Proportional to 340,376.30, 510,301.44 and 171,809.85

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Solution

The fourth proportional to 340,376.30, 510,301.44 and 171,809.85 is: 257,582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,376.30 : 510,301.44 = 171,809.85 : x
  2. Step 2: Convert to fraction form
    340,376.30/510,301.44 = 171,809.85/x
  3. Step 3: Cross multiply
    340,376.30x = 510,301.44 × 171,809.85
  4. Step 4: Simplify right side
    340,376.30x = 87,674,813,861.18
  5. Step 5: Solve for x
    x = 87,674,813,861.18/340,376.30
  6. Step 6: Final answer
    x = 257,582.02

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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.