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Finding the Fourth Proportional to 590,643.50, 815,165.76 and 332,570.74

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Solution

The fourth proportional to 590,643.50, 815,165.76 and 332,570.74 is: 458,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,643.50 : 815,165.76 = 332,570.74 : x
  2. Step 2: Convert to fraction form
    590,643.50/815,165.76 = 332,570.74/x
  3. Step 3: Cross multiply
    590,643.50x = 815,165.76 × 332,570.74
  4. Step 4: Simplify right side
    590,643.50x = 271,100,280,025.86
  5. Step 5: Solve for x
    x = 271,100,280,025.86/590,643.50
  6. Step 6: Final answer
    x = 458,991.39

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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.