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Finding the Fourth Proportional to 318,276.88, 477,471.84 and 105,056.56

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Solution

The fourth proportional to 318,276.88, 477,471.84 and 105,056.56 is: 157,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,276.88 : 477,471.84 = 105,056.56 : x
  2. Step 2: Convert to fraction form
    318,276.88/477,471.84 = 105,056.56/x
  3. Step 3: Cross multiply
    318,276.88x = 477,471.84 × 105,056.56
  4. Step 4: Simplify right side
    318,276.88x = 50,161,549,007.27
  5. Step 5: Solve for x
    x = 50,161,549,007.27/318,276.88
  6. Step 6: Final answer
    x = 157,603.50

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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.