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Finding the Fourth Proportional to 421,096.54, 631,047.70 and 325,883.50

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Solution

The fourth proportional to 421,096.54, 631,047.70 and 325,883.50 is: 488,363.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,096.54 : 631,047.70 = 325,883.50 : x
  2. Step 2: Convert to fraction form
    421,096.54/631,047.70 = 325,883.50/x
  3. Step 3: Cross multiply
    421,096.54x = 631,047.70 × 325,883.50
  4. Step 4: Simplify right side
    421,096.54x = 205,648,033,142.95
  5. Step 5: Solve for x
    x = 205,648,033,142.95/421,096.54
  6. Step 6: Final answer
    x = 488,363.15

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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.