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Finding the Fourth Proportional to 591,113, 815,741.12 and 336,480.56

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Solution

The fourth proportional to 591,113, 815,741.12 and 336,480.56 is: 464,346.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,113 : 815,741.12 = 336,480.56 : x
  2. Step 2: Convert to fraction form
    591,113/815,741.12 = 336,480.56/x
  3. Step 3: Cross multiply
    591,113x = 815,741.12 × 336,480.56
  4. Step 4: Simplify right side
    591,113x = 274,481,028,872.63
  5. Step 5: Solve for x
    x = 274,481,028,872.63/591,113
  6. Step 6: Final answer
    x = 464,346.12

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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.