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Finding the Fourth Proportional to 273,585.96, 410,523.38 and 194,137.24

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Solution

The fourth proportional to 273,585.96, 410,523.38 and 194,137.24 is: 291,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,585.96 : 410,523.38 = 194,137.24 : x
  2. Step 2: Convert to fraction form
    273,585.96/410,523.38 = 194,137.24/x
  3. Step 3: Cross multiply
    273,585.96x = 410,523.38 × 194,137.24
  4. Step 4: Simplify right side
    273,585.96x = 79,697,875,948.67
  5. Step 5: Solve for x
    x = 79,697,875,948.67/273,585.96
  6. Step 6: Final answer
    x = 291,308.35

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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.