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Finding the Fourth Proportional to 972,906.32, 1,459,627.02 and 467,889.75

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Solution

The fourth proportional to 972,906.32, 1,459,627.02 and 467,889.75 is: 701,963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,906.32 : 1,459,627.02 = 467,889.75 : x
  2. Step 2: Convert to fraction form
    972,906.32/1,459,627.02 = 467,889.75/x
  3. Step 3: Cross multiply
    972,906.32x = 1,459,627.02 × 467,889.75
  4. Step 4: Simplify right side
    972,906.32x = 682,944,521,481.05
  5. Step 5: Solve for x
    x = 682,944,521,481.05/972,906.32
  6. Step 6: Final answer
    x = 701,963.29

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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.