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Finding the Fourth Proportional to 354,314.32, 531,380.64 and 104,938

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Solution

The fourth proportional to 354,314.32, 531,380.64 and 104,938 is: 157,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,314.32 : 531,380.64 = 104,938 : x
  2. Step 2: Convert to fraction form
    354,314.32/531,380.64 = 104,938/x
  3. Step 3: Cross multiply
    354,314.32x = 531,380.64 × 104,938
  4. Step 4: Simplify right side
    354,314.32x = 55,762,021,600.32
  5. Step 5: Solve for x
    x = 55,762,021,600.32/354,314.32
  6. Step 6: Final answer
    x = 157,380.10

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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.