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Finding the Fourth Proportional to 591,749.28, 816,598.80 and 323,460

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Solution

The fourth proportional to 591,749.28, 816,598.80 and 323,460 is: 446,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,749.28 : 816,598.80 = 323,460 : x
  2. Step 2: Convert to fraction form
    591,749.28/816,598.80 = 323,460/x
  3. Step 3: Cross multiply
    591,749.28x = 816,598.80 × 323,460
  4. Step 4: Simplify right side
    591,749.28x = 264,137,047,848
  5. Step 5: Solve for x
    x = 264,137,047,848/591,749.28
  6. Step 6: Final answer
    x = 446,366.49

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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.