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Finding the Fourth Proportional to 496,246.50, 684,820.98 and 269,892

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Solution

The fourth proportional to 496,246.50, 684,820.98 and 269,892 is: 372,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,246.50 : 684,820.98 = 269,892 : x
  2. Step 2: Convert to fraction form
    496,246.50/684,820.98 = 269,892/x
  3. Step 3: Cross multiply
    496,246.50x = 684,820.98 × 269,892
  4. Step 4: Simplify right side
    496,246.50x = 184,827,703,934.16
  5. Step 5: Solve for x
    x = 184,827,703,934.16/496,246.50
  6. Step 6: Final answer
    x = 372,451.40

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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.