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Finding the Fourth Proportional to 649,880.86, 974,406 and 312,249.64

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Solution

The fourth proportional to 649,880.86, 974,406 and 312,249.64 is: 468,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,880.86 : 974,406 = 312,249.64 : x
  2. Step 2: Convert to fraction form
    649,880.86/974,406 = 312,249.64/x
  3. Step 3: Cross multiply
    649,880.86x = 974,406 × 312,249.64
  4. Step 4: Simplify right side
    649,880.86x = 304,257,922,713.84
  5. Step 5: Solve for x
    x = 304,257,922,713.84/649,880.86
  6. Step 6: Final answer
    x = 468,174.92

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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.