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Finding the Fourth Proportional to 649,887.86, 974,416.50 and 312,256.64

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Solution

The fourth proportional to 649,887.86, 974,416.50 and 312,256.64 is: 468,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,887.86 : 974,416.50 = 312,256.64 : x
  2. Step 2: Convert to fraction form
    649,887.86/974,416.50 = 312,256.64/x
  3. Step 3: Cross multiply
    649,887.86x = 974,416.50 × 312,256.64
  4. Step 4: Simplify right side
    649,887.86x = 304,268,022,250.56
  5. Step 5: Solve for x
    x = 304,268,022,250.56/649,887.86
  6. Step 6: Final answer
    x = 468,185.42

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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.