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Finding the Fourth Proportional to 421,877.20, 631,894.20 and 327,643.60

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Solution

The fourth proportional to 421,877.20, 631,894.20 and 327,643.60 is: 490,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,877.20 : 631,894.20 = 327,643.60 : x
  2. Step 2: Convert to fraction form
    421,877.20/631,894.20 = 327,643.60/x
  3. Step 3: Cross multiply
    421,877.20x = 631,894.20 × 327,643.60
  4. Step 4: Simplify right side
    421,877.20x = 207,036,090,507.12
  5. Step 5: Solve for x
    x = 207,036,090,507.12/421,877.20
  6. Step 6: Final answer
    x = 490,749.66

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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.