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Finding the Fourth Proportional to 469,428.98, 647,812.32 and 254,568.98

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Solution

The fourth proportional to 469,428.98, 647,812.32 and 254,568.98 is: 351,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,428.98 : 647,812.32 = 254,568.98 : x
  2. Step 2: Convert to fraction form
    469,428.98/647,812.32 = 254,568.98/x
  3. Step 3: Cross multiply
    469,428.98x = 647,812.32 × 254,568.98
  4. Step 4: Simplify right side
    469,428.98x = 164,912,921,533.83
  5. Step 5: Solve for x
    x = 164,912,921,533.83/469,428.98
  6. Step 6: Final answer
    x = 351,305.37

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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.