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Finding the Fourth Proportional to 457,812, 631,780.56 and 256,608

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Solution

The fourth proportional to 457,812, 631,780.56 and 256,608 is: 354,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,812 : 631,780.56 = 256,608 : x
  2. Step 2: Convert to fraction form
    457,812/631,780.56 = 256,608/x
  3. Step 3: Cross multiply
    457,812x = 631,780.56 × 256,608
  4. Step 4: Simplify right side
    457,812x = 162,119,945,940.48
  5. Step 5: Solve for x
    x = 162,119,945,940.48/457,812
  6. Step 6: Final answer
    x = 354,119.04

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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.