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Finding the Fourth Proportional to 496,285.60, 684,869 and 269,931.04

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Solution

The fourth proportional to 496,285.60, 684,869 and 269,931.04 is: 372,502.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,285.60 : 684,869 = 269,931.04 : x
  2. Step 2: Convert to fraction form
    496,285.60/684,869 = 269,931.04/x
  3. Step 3: Cross multiply
    496,285.60x = 684,869 × 269,931.04
  4. Step 4: Simplify right side
    496,285.60x = 184,867,401,433.76
  5. Step 5: Solve for x
    x = 184,867,401,433.76/496,285.60
  6. Step 6: Final answer
    x = 372,502.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.