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Finding the Fourth Proportional to 496,368.68, 684,988.26 and 270,013.64

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Solution

The fourth proportional to 496,368.68, 684,988.26 and 270,013.64 is: 372,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,368.68 : 684,988.26 = 270,013.64 : x
  2. Step 2: Convert to fraction form
    496,368.68/684,988.26 = 270,013.64/x
  3. Step 3: Cross multiply
    496,368.68x = 684,988.26 × 270,013.64
  4. Step 4: Simplify right side
    496,368.68x = 184,956,173,439.87
  5. Step 5: Solve for x
    x = 184,956,173,439.87/496,368.68
  6. Step 6: Final answer
    x = 372,618.54

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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.