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Finding the Fourth Proportional to 401,055.10, 601,586.04 and 320,894.40

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Solution

The fourth proportional to 401,055.10, 601,586.04 and 320,894.40 is: 481,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,055.10 : 601,586.04 = 320,894.40 : x
  2. Step 2: Convert to fraction form
    401,055.10/601,586.04 = 320,894.40/x
  3. Step 3: Cross multiply
    401,055.10x = 601,586.04 × 320,894.40
  4. Step 4: Simplify right side
    401,055.10x = 193,045,591,354.18
  5. Step 5: Solve for x
    x = 193,045,591,354.18/401,055.10
  6. Step 6: Final answer
    x = 481,344.31

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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.