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Finding the Fourth Proportional to 496,006.12, 684,459.38 and 269,649.64

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Solution

The fourth proportional to 496,006.12, 684,459.38 and 269,649.64 is: 372,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,006.12 : 684,459.38 = 269,649.64 : x
  2. Step 2: Convert to fraction form
    496,006.12/684,459.38 = 269,649.64/x
  3. Step 3: Cross multiply
    496,006.12x = 684,459.38 × 269,649.64
  4. Step 4: Simplify right side
    496,006.12x = 184,564,225,411.62
  5. Step 5: Solve for x
    x = 184,564,225,411.62/496,006.12
  6. Step 6: Final answer
    x = 372,100.70

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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.